ATMO 200 ATMO 200 Alison Nugent, David DeCou, and Shintaro Russell Christina Karamperidou and Jennifer Small Griswold ATMO 200 Copyright © by Alison Nugent, David DeCou, and Shintaro Russell. All Rights Reserved. Atmospheric Science: ATMO 200 Companion Text This textbook serves as an introduction to atmospheric science for undergraduate students and is the primary textbook for the ATMO 200: Atmospheric Processes and Phenomenon course at the University of Hawai’i at Mānoa. The book covers basic atmospheric science, weather, and climate in a descriptive and quantitative way. 1 Disclaimer Before using this book, please be aware of the following: a) the book is currently being piloted at the University of Hawaiʻi at Mānoa in an undergraduate Atmospheric Sciences course, b) there is still a lot of copyediting, images, and narrative to be included, so as a result c) chapters will be continually modified, with a more-complete edition available in mid-2019. If you have suggestions or comments, please email Dr. Alison Nugent at ‘anugent@hawaii.edu’. Thank you! 2 Preface This open access textbook was developed as an introductory resource for atmospheric science to reflect the unique weather patterns in Hawai‘i and the needs of the course to be both descriptive and quantitative. Its intended audience are students from the University of Hawai‘i at Mānoa enrolled in the Atmospheric Sciences 200 course, Atmospheric Processes and Phenomenon. However, this open access textbook may be of interest to other courses interested in teaching atmospheric science at the introductory level. This book is best viewed online using the Pressbooks webbook format however, multiple formats (e.g., pdf, epub, mobi) are also available. 3 About the Contributors This open access textbook was made possible through the collaboration of faculty, students, and staff at the University of Hawai‘i at Mānoa working together in the spirit of Aloha. 4 ATMO 200 • 5 Authors Prof. Alison D. Nugent Alison Nugent is an Assistant Professor in the Department of Atmospheric Sciences in the School of Ocean and Earth Science and Technology at the University of Hawai‘i at Mānoa. She received her PhD in 2014 from Yale University and holds a BSc in Earth and Planetary Sciences from Harvard College. Her research focuses on mesoscale and microscale meteorology, especially mountain meteorology and cloud microphysics. Dr. Nugent acted as the primary editor for the textbook including content, text, and visuals, overseeing the textbook development. She currently teaches a number of undergraduate courses in atmospheric science. She is dedicated to developing readily available and accessible education materials and curricula to 6 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL ensure that her students can relate and easily learn from the content. David Decou David DeCou is one of the co-authors of the first draft of the textbook. He wrote the first draft of most of the odd chapters. David Decou holds a BS in Meteorology from Valparaiso University and an MS from the Department of Atmospheric Sciences at the University of Hawai‘i at Mānoa, class of 2018. ATMO 200 • 7 Shintaro Russell Shintaro Russell is another co-author of the first draft of the textbook. He wrote the first draft of most of the even chapters. Shintaro Russell graduated with a BS in Atmospheric Sciences in 2017 from the Department of Atmospheric Sciences at the University of Hawai‘i at Mānoa. 8 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Contributors Prof. Christina Karamperidou Christina Karamperidou is an Assistant Professor in the Department of Atmospheric Sciences at the University of Hawai‘i at Mānoa. She received her PhD in 2012 from Columbia University and holds a BS and MS in Civil & Environmental Engineering from the Aristotle University of Thessaloniki, Greece. Her research interests include dynamics and predictability of the El Niño/Southern Oscillation phenomenon, paleoclimate studies, interactions between tropical and extratropical American Meteorological Society, cited 2019: Climate. Glossary of Meteorology. [Available online at ATMO 200 • 9 http://glossary.ametsoc.org/wiki/Climate.]" class="glossaryLink">climate variability, and hydro-American Meteorological Society, cited 2019: Climate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Climate.]" class="glossaryLink">climate modeling. Dr. Karamperidou teaches undergraduate and graduate courses in American Meteorological Society, cited 2019: Climate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Climate.]" class="glossaryLink">climate modeling and American Meteorological Society, cited 2019: Climate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Climate.]" class="glossaryLink">climate data applications. She is passionate about training a future generation of scientists who will aim to decipher the complexity of the American Meteorological Society, cited 2019: Climate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Climate.]" class="glossaryLink">climate system while answering the increasing need for incorporating American Meteorological Society, cited 2019: Climate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Climate.]" class="glossaryLink">climate information into policy and resource management. 10 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Prof. Jennifer D. Small Griswold Jennifer Small Griswold is an Associate Professor in the Department of Atmospheric Sciences at the University of Hawai‘i at Mānoa. She received her PhD in 2009 from the University of California at Santa Cruz in Earth and Planetary Sciences and holds BS degrees in Meteorology and Environmental Science (physics focus) from Rutgers University. Her research interests include cloud microphysics, aerosol-cloud-American Meteorological Society, cited 2020: Precipitation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Precipitation.]" class="glossaryLink">precipitation-American Meteorological Society, cited 2019: Climate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Climate.]" ATMO 200 • 11 class="glossaryLink">climate interactions, meteorology, drought, and satellite meteorology. aviation Dr. Griswold had the initial idea for the OER textbook and applied for the Outreach College grant that made the project possible. She teaches undergraduate non-major survey courses covering a variety of American Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Weather.]" class="glossaryLink">weather and American Meteorological Society, cited 2019: Climate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Climate.]" class="glossaryLink">climate topics and graduate level specialty courses in satellite meteorology and data analysis. One of her main goals is to improve the diversity of the atmospheric sciences community by encouraging underrepresented groups (e.g., Native Hawaiians and Pacific Islanders) and women to pursue careers in atmospheric science. 12 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Britt Seifert Britt Seifert created figures, checked copyright content, and migrated content into Pressbooks. She is a current undergraduate student in the Department of Atmospheric Sciences at the University of Hawai‘i at Mānoa. ATMO 200 • 13 May Izumi The text was copyedited by May Izumi, a publications editor for the School of Ocean and Earth Science and Technology at the University of Hawai‘i at Mānoa. 14 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Billy Meinke-Lau Billy Meinke-Lau works for the Outreach College at the University of Hawai‘i at Mānoa, supporting faculty to develop Open Educational Resources (OER). He previously worked with the Distance Course Design and Consulting (DCDC) Group in the College of Education at the University of Hawai‘i at Mānoa, and for Creative Commons. None of this would have been possible without the help and guidance of Billy Meinke who served as project manager. His passion for Open Educational Resources is obvious, and guides his American Meteorological Society, cited 2019: Work. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Work.]" class="glossaryLink">work and actions. Thank you Billy, your American Meteorological Society, cited 2019: Energy. Glossary ATMO 200 • 15 of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Energy.]" class="glossaryLink">energy and devotion to OER is inspiring. Acknowledgements This Open Educational Resource textbook has been adapted from Roland Stull’s OER textbook entitled “Practical Meteorology: An Algebra-based Survey of Atmospheric Science.” It has been simplified and the content was reduced to meet the needs of the ATMO 200 course at the University of Hawai‘i. Chapters and section structures were adapted from the above existing OER textbook. Without this foundational text, a lot more work would have been required to complete this project. A huge thank you to Roland Stull. All shared content should include the following attribution statement: — This work is licensed under a Creative Commons Attribution 4.0 International License. Atmospheric Science: A Companion 16 ATMO 200 • 17 Text for ATMO 200 by the University of Hawai’i at Mānoa Atmospheric Sciences Department. — Front Cover Photo Rainbow and Halema’uma’u eruption (CC BY-SA 4.0) Special Thanks Roland Stull — University of British Columbia (link) Bill Chismar — University of Hawai’i at Mānoa, Dean of the Outreach College Open Educational Resources This text is provided to you as an Open Educational Resource (OER) which you can access online. It is designed to give you a comprehensive introduction to atmospheric science at no cost. Chapter 1: Atmospheric Basics ALISON NUGENT AND DAVID DECOU Learning Objectives By the end of this chapter, you should be able to: 1. Convert between temperature units of Fahrenheit, Celsius, and Kelvin 2. Use mathematical formulas to define atmospheric temperature, pressure, and density 3. Compute pressure and density changes with altitude 4. Describe the vertical structure of Earth’s atmosphere 19 20 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL 5. Define and apply the ideal gas law 6. Describe American Meteorological Society, cited 2019: Hydrostatic balance. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Hydrostatic_balance.]" class="glossaryLink">hydrostatic balance 7. Discuss the difference between American Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Weather.]" class="glossaryLink">weather and American Meteorological Society, cited 2019: Climate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Climate.]" class="glossaryLink">climate 8. Note the location of terminology, coordinate systems, and units for future reference Introduction We often take Earth’s atmosphere for granted. When we enjoy a sunset, go to the beach, or hike a trail, we don’t necessarily think of the vast volume of air around us that allows us to do ATMO 200 • 21 these things. The atmosphere brings us the oxygen that fills our lungs; it brings us the beautiful blues of the sky above and the verdant greenery below. It is responsible for the existence of our oceans, lakes, and rivers, and without it we would not have beaches to enjoy. The fluffy, white cumulus clouds you see on a summer day are a result of both large- and small-scale motions in the atmosphere. The same is true of the hazy stratus, wispy cirrus, or towering cumulonimbus. The atmosphere is like a massive blanket that surrounds, sustains, protects, and warms us. Without it, no life would exist on Earth. In fact, the atmosphere is the very reason almost anything exists on Earth at all; our planet would be a dull, waterless, lifeless rock without it. Nighttime without an atmosphere would be unimaginably cold, and daytime temperatures would soar above water’s boiling point. Nothing would separate Earth and the blistering sunlight but the empty vacuum of space. View from outer space of the sun rising over Earth, illuminating the atmosphere in a ring of blue. NASA (Public Domain). 22 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Although the atmosphere was previously described as “vast”, in actuality it is relatively thin. If the Earth were shrunk down to the size of a basketball, the atmosphere would be roughly the thickness of a plastic sheet stretched across the ball. In the image above, the atmosphere can be seen as the thin veil of bluish white mist above our planet’s surface. Although we can travel thousands of kilometers horizontally along Earth’s surface, traveling vertically would be difficult — the air is too thin to breathe only a few kilometers above Earth’s surface. View of the moon from space over Earth’s blue atmosphere (Public Domain). The goal of this chapter is to orient those who are new to atmospheric science with the basics as described previously in the Chapter 1 Learning Objectives. ATMO 200 • 23 Overview of Earth’s Atmosphere Everything that happens on Earth is caused in some way by American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Radiation.]" class="glossaryLink">radiation from the sun, which is an average-sized star located near the edge of the Milky Way galaxy. It provides radiant American Meteorological Society, cited 2019: Energy. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Energy.]" class="glossaryLink">energy (also called American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Radiation.]" class="glossaryLink">radiation or solar insolation) by converting hydrogen into helium near its core, which provides most of the Earth’s warmth. Here is a classic song about the Sun heating Earth. The Earth only receives a tiny portion of the sun’s total American Meteorological Society, cited 2019: Energy. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Energy.]" class="glossaryLink">energy output. It is this American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Radiation.]" class="glossaryLink">radiation that drives the atmosphere’s wind and American Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Weather.]" 24 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL class="glossaryLink">weather patterns on the Earth’s surface. It is because of this solar input that the Earth can maintain an overall global average surface temperature of approximately 15°C (59°F). Composition of the Atmosphere Pie chart showing the gases that make up Earth’s atmosphere (CC BY-SA 3.0). Earth’s atmosphere is primarily composed of nitrogen (N) and oxygen (O), with smaller quantities of other gases, as shown in the figure above. Nitrogen makes up around 78%, oxygen makes up around 21%, and Argon almost 1% of the total dry air volume in the atmosphere. Other gases (such as water vapor, the gaseous form of H2O) take up varying amounts depending on the location and atmospheric conditions. There is a balance of input and output of atmospheric gases at the Earth’s surface both from life and surface processes. For example, when we ATMO 200 • 25 breathe, the human body takes in oxygen (O2) and releases carbon dioxide (CO2). When plants photosynthesize, they take in carbon dioxide and release oxygen. When water (H2O) evaporates from the ocean, additional water vapor (H2O) is added to the atmosphere. When the Kilauea volcano degasses, sulfur dioxide (SO2) is added to the atmosphere. Water Vapor Water vapor concentrations vary greatly from location to location, and from time to time. In warm, moist, tropical regions, water vapor can make up nearly 4% of the atmospheric composition, while in polar regions it can be just a tiny fraction of a percent. Water vapor cannot be seen in its gaseous form, but you may see it as it condenses into water droplets on the side of a cool glass of water on a hot day or into water droplets that make up clouds. The process of water vapor changing phase to liquid is called condensation. When liquid water becomes a gaseous vapor, it is known as evaporation. When water becomes ice or ice becomes water, these processes are known as freezing and melting, respectively. When ice transitions directly to water vapor, the process is known as sublimation. The transition from water vapor to ice is known as vapor deposition. These terms will all be used frequently in subsequent chapters. Water vapor is one of the most important gases in our atmosphere, because when it changes phase from vapor to liquid or ice, it releases enormous amounts of heat, called American Meteorological Society, cited 2019: Latent heat. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Latent_heat.]" 26 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL class="glossaryLink">latent heat. American Meteorological Society, cited 2019: Latent heat. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Latent_heat.]" class="glossaryLink">Latent heat is a major source of American Meteorological Society, cited 2019: Energy. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Energy.]" class="glossaryLink">energy in the atmosphere, particularly for tropical storms and other types of convection. In addition, water vapor is an important greenhouse gas in the atmosphere, meaning it absorbs and re-releases a portion of the Earth’s outgoing American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Radiation.]" class="glossaryLink">radiation, which allows our planet to remain warm. If you don’t understand convection, American Meteorological Society, cited 2019: Latent heat. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Latent_heat.]" class="glossaryLink">latent heat, and American Meteorological Society, cited 2019: Greenhouse gases. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Greenhouse_gases.]" class="glossaryLink">greenhouse gases yet, don’t worry, all will be discussed in later chapters. The point is that despite its small fractional percentage, water vapor is arguably the most important gas in the atmosphere. ATMO 200 • 27 Hawaiian Focus Box The air composition of Hawaiʻi occasionally faces a unique threat due to the emissions from Kīlauea, a volcano located along the southern shore of Hawaiʻi’s Big Island. Kīlauea has been continuously erupting since 1983 and is the most active of the volcanoes that make up the Big Island. In the first few years after 1983, Kīlauea emitted up to 30,000 tons of sulfur dioxide (SO2) a day, but that number has stabilized recently to around 5,000 tons per day. At present day with the 2018 Kilauea eruptions currently occurring, SO2 emissions are again elevated. These emissions are known as volcanic smog, or more commonly, “vog”. The sulfate particles in vog are very small, so they can effectively infiltrate human airways. In environments with high relative humidity, such as inside the human body, these particles will hydrolyze and expand, which irritates lungs and obstructs airways. Vog has been linked to respiratory disease, sinusitus, and even lung cancer. Therefore, Hawaiʻi’s residents need to take precautions. 28 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Water vapor and other gases escaping from the Kīlauea volcano at the Halemaʻumaʻu vent (CC BY-SA 4.0). Vertical Structure of the Atmosphere Although the atmosphere extends vertically for hundreds of kilometers, almost 99% of it is within approximately 30 km of the Earth’s surface. Air molecules are pulled toward Earth by the gravitational force, which pulls downward on the atmosphere. This causes the air molecules closer to Earth’s surface to be more tightly compressed, meaning that there are more air molecules together in a given volume (a higher density). The greater the number of air molecules that exist above a certain altitude, the greater the effect of this compression, because the molecules are all being pulled downward together. Just as gravity has an effect on the weight of different objects (weight is the force that acts on an object due to gravity), it also gives weight to air. ATMO 200 • 29 Mass is the measure of how much matter exists in a given object or space. Mass is occasionally confused with weight. While weight increases with more mass, mass would have no weight at all without the pull of gravity. Similarly, an object’s weight depends on the gravitational force: an object weighs much less on the moon than it does on Earth. Mass is typically given in grams (g) or kilograms (kg). Note: You may want to review the International System (IS) of Units. The base units we will use include meters (m), kilograms (kg), seconds (s), and Kelvin (K). We’ll also use the prefixes “kilo” (1000), “hecto” (100), and “micro” (10-6) along with some derived units like hertz, Newtons, pascals, joules, and watts. Air Density Air density is determined by the amount of mass (m) that exists in a given space, or volume (V). If you fit a lot of mass into a tiny volume, you will have higher density. If you have only a small amount of mass spread out over a large volume, the density will be lower. 30 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Putting these ideas together, air density is highest near the surface of Earth and decreases with height, because there are more molecules held tightly together at the surface by gravity than there are above. The standard unit for density is kg·m-3. Pro Tip: Density is often denoted by the Greek lowercase letter ρ (rho). Be careful not to confuse this with p or P, which are both used to denote pressure. When writing on paper, it may be useful to write ρ with a curly tail like a backwards q and to write p with a straight tail in order to differentiate the two. Density (ρ, kg·m-3) vs. height (z, km) in the atmosphere (CC BY-NC-SA 4.0). The image above shows the distribution of density (ρ) with ATMO 200 • 31 altitude. Atmospheric surface density is typically around 1.2 kg·m-3. We call this value ρ0 because it is the initial value at the surface. The exponential equation below approximates the distribution of density with height where ρ (kg m-3) is density, ρ0 (kg m-3) is the density at the Earth’s surface, z (m) is altitude, T (K) is temperature (assumed to be constant through the atmosphere), Rd = 287.053 J·K-1·kg-1 (gas constant for dry air), and g is the acceleration due to gravity (m·s–2). Note: Remember that the equations you see in this text are good approximations. They all involve assumptions of some kind. In the case of the exponential distribution of density with altitude, the primary issue is the assumption that temperature is constant throughout the atmosphere. This will become clear later. “Scale height” is denoted by H and represents an e-folding distance for the drop off of density in the atmosphere. Typically the value of H is around 8000 m. This means that density at 8 km is approximately 1/e (e=2.71828) of the value at the surface. A back of the envelope calculation gives the density of the atmosphere at 8 km as 1.2 kg·m-3 divided by 3 and is 32 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL approximately equal to 0.4 kg·m-3. Checking the image above, it is clear that this provides a relatively good estimate for density. Air Pressure You will often hear meteorologists on TV discuss the air pressure, or you might see H’s and L’s on a map displayed on the American Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Weather.]" class="glossaryLink">Weather Channel, denoting high and low pressure areas. Because air molecules are in constant motion, they collide with one another and other objects up to several billions of times a second. Each time an air molecule collides with an object, it exerts a tiny amount of force. Air pressure refers to the total force that air exerts against a given area of an object. A Newton (N) is the unit for force and m2 is the unit for area, in the International System of Units (SI). Therefore, the standard unit for pressure is in Newtons per square meter — or Pascals (Pa), which are defined as 1 N·m-2. ATMO 200 • 33 Pro Tip: You will generally find air pressure expressed in units of millibars or (mb) or hectopascals (hPa) on American Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Weather.]" class="glossaryLink">weather maps. These two units are equivalent to one another. In the Practical Meteorology: An Algebra-based Survey of Atmospheric Science textbook by Roland Stull off of which this OER is based, kPa are often used. In the aviation field, Inches of mercury (inHg) are also commonly used. At sea level, the global average for atmospheric pressure is: 101.325 kPa = 1013.25 mb = 1013.25 hPa = 29.92 in. Hg. = 1 atm (atmosphere) = 101325 Pa. In future calculations, you will usually need to express pressure in Pascals (Pa) for your units to cancel out. Always be mindful of the units you are given and be sure you are able to convert from one type of unit to another. You can think of the surface air pressure as the total weight of a column of air molecules extending from the surface to the top of the atmosphere. Because there are more air molecules at the surface of the Earth and less above, air pressure is maximized at the surface and decreases with height nearly exponentially, analogous to air density. 34 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Height (z, km) vs. pressure (P, kPa) in the atmosphere (CC BY-NC-SA 4.0). The image above shows the distribution of pressure (P) with altitude. Atmospheric surface pressure is typically around 1013 hPa. We call this value P0 because it is the initial value at the surface. The exponential equation below approximates the distribution of pressure with height where P (Pa) is pressure, P0(Pa) is the pressure at the Earth’s surface, z (m) is altitude, T (K) is temperature (assumed to be constant through the atmosphere), Rd = 287.053 J·K-1·kg-1 (gas constant for dry air), and g is the acceleration due to gravity (m·s–2). You can get a sense of atmospheric pressure if you’ve ever dived ATMO 200 • 35 more than a few feet underwater at the pool or beach. As you dive deeper, the weight of the water above you increases, and you feel increased discomfort or pressure on your head. This is why divers require special equipment to reach greater depths in the ocean. If you think of yourself at the bottom of an ocean of air, you can imagine why air pressure is highest down here at the surface. If you’ve ever flown on an airplane, you can also feel the changes in atmospheric pressure in your ears as you ascend and descend. Still, while pressure decreases at high elevations in an airplane, cabins are pressurized to maintain similar pressure to Earth’s surface so you are not experiencing the full pressure drop with altitude. Air Temperature It is commonly thought that air temperature is a measure of how cold or hot an object is. We instinctively know that the higher an object’s temperature, the hotter it will be, and the lower its temperature, the colder it will be. But what does temperature really measure? The answer lies in the motion of the molecules. Air molecules are in constant motion, colliding with objects and one another. As we increase the temperature of a volume of air, the air molecules speed up, and collisions become more frequent. As we decrease the air temperature, the molecules slow down, and collisions occur less frequently. What is going on here? Simply put, air temperature is a relative measure of the average American Meteorological Society, cited 2019: Kinetic energy. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Kinetic_energy.]" 36 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL class="glossaryLink">kinetic energy (kinetic meaning it relates to motion) of the molecules of a system. Because there are more air molecules close to the Earth’s surface, density and air pressure are maximized at the surface and decrease with height. Based on this, do you think air temperature will decrease or increase as you move further away from the surface? Within the lowest 10-12 km of the atmosphere, temperature tends to decrease with height, primarily because the Earth’s surface is warmed by sunlight, which then warms the layer of air directly above it, which warms the air above that, and so on. While this is true in the lowest surface layer of the atmosphere, this is not true throughout the rest of the atmosphere. The vertical temperature profile is more complicated than the vertical profile of pressure or density. Temperature is different for each of the different layers of the atmosphere, which will be discussed later. Temperature Scales Surface air temperature is commonly given in degrees Fahrenheit (°F) in the United States. If you were born and raised in the US, this is the temperature scale that you probably use in your daily life, and what you’ll see given when you look at the daily American Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Weather.]" class="glossaryLink">weather. You’ll know that 32°F is the ATMO 200 • 37 temperature at which water freezes, and 212°F is the temperature at which water boils. Degrees Celsius (°C) is also commonly used, especially internationally. Celsius is a convenient scale to use because water freezes at 0°C and boils at 100°C. A difference in 1°C is larger than a difference of 1°F by about 1.8 times. To convert between the two, use the following equations. The Kelvin scale (K) is almost always used as a temperature unit in scientific equations and is convenient in that it contains no negative numbers. The Kelvin scale begins at 0 K, or absolute zero, where atoms and molecules would theoretically be thermally motionless. The Kelvin scale is also sometimes known as the absolute temperature scale. The lowest possible temperature is 0 K but it does not occur naturally. The coolest naturally existing place known in the universe is the Boomerang Nebula, located in the Centaurus constellation about 5,000 lightyears away from Earth. The temperature is measured at 1 K, only 1°C above absolute zero. A difference in 1 K is the same as a difference of 1°C, so a conversion is linear and simple. Based on this, absolute zero is -273.15 °C. Keep in mind degrees 38 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Celsius (°C) and degrees Fahrenheit (°F) always have the degree ° symbol in American Meteorological Society, cited 2020: Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Front.]" class="glossaryLink">front, but Kelvin (K) never uses this symbol. Typical values of temperature on Earth’s surface on the Kelvin scale are values around 260-310 K. Within atmospheric sciences, the Kelvin and Celsius scale are used. This chapter is one of the only times you’ll see a discussion of Fahrenheit within the course. Equation of State — Ideal Gas Law Air pressure is caused by the collisions of rapidly, randomly moving air molecules, so you might expect pressure to increase when there are more molecules in one place (higher density, ρ) and when they are moving faster (higher temperature, T). The relationship between pressure, density, and temperature is called the American Meteorological Society, cited 2019: Equation of state. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Equation_of_state.]" class="glossaryLink">Equation of State. The gases in the atmosphere have a simple American Meteorological Society, cited 2019: Equation of state. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Equation_of_state.]" class="glossaryLink">equation of state called the Ideal Gas Law. ATMO 200 • 39 For dry air (no water vapor present), the ideal gas law is The ideal gas law assumes that atmospheric gases act in an ideal manner, meaning that there are few intermolecular forces, and that the size of the molecules is small compared to the space between them. In almost all cases, gases in the atmosphere can be assumed to be ideal gases. Again, this is another example of a simplifying assumption we use to be able to approximate relationships in the atmosphere. Air pressure differences associated with air temperature in a column (CC BY-SA 4.0). Description below. The above figure illustrates the effect that air temperature has on its density and pressure. The two air columns above Cities 1 and 2 in (a) have the same temperature, contain the same amount of mass, and have the same volume, so their density is the same. The pressure exerted on the surface is the same in both cities because the pressure at the surface is related to the number of air molecules above. In (b) the air temperature above City 1 is lower than the air 40 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL temperature above City 2. Because of this the air molecules in the column above City 1 are moving more slowly, and take up a smaller volume. Likewise, in City 2 the air molecules are moving more quickly and the volume in the column is larger. It only takes a smaller cold air volume to apply the same pressure on the surface as a larger warm air volume. The surface pressures are the same but the temperatures are not. The surface pressure may be the same in (b) but the pressure aloft is not, which results in air movement that can be seen in (c). At the same altitude above Cities 1 and 2 in (c), there is more air above the same level in City 2 than in 1. Locally this creates a higher pressure aloft over the warmer City 2. Because of the difference in pressure aloft, airflow is created that moves from the higher pressure toward the lower pressure. This airflow caused by a localized difference in air pressure is what we call wind. Note: The force that arises due to a difference in air pressure is called the American Meteorological Society, cited 2020: Pressure Gradient Force. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Pressuregradient_force.]" class="glossaryLink">pressure gradient force (PGF). The word “gradient” here refers to a change over a distance. A American Meteorological Society, cited 2020: Pressure Gradient Force. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Pressuregradient_force.]" class="glossaryLink">pressure gradient force is the force that drives the wind. This ATMO 200 • 41 concept will be further explored in Chapter 10. The movement of air from City 2 to City 1 creates a falling surface pressure in City 2 and a rising surface pressure in City 1. Hydrostatic Balance We’ve learned that atmospheric pressure decreases with height. We’ve also learned that air moves from areas of high pressure to areas of low pressure due to the American Meteorological Society, cited 2020: Pressure Gradient Force. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Pressure-gradient_force.]" class="glossaryLink">pressure gradient force. Knowing these two things, you might think that the air in the atmosphere would escape into space, because there is high pressure at the surface and low pressure aloft. Because it does not, there must be a downward force that balances the upward vertical American Meteorological Society, cited 2020: Pressure Gradient Force. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Pressuregradient_force.]" class="glossaryLink">pressure gradient force. This downward force is a force that should be very familiar to you: gravity. In the atmosphere, when the vertical American Meteorological Society, cited 2020: Pressure Gradient Force. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Pressure-gradient_force.]" class="glossaryLink">pressure gradient force is balanced by gravity, this is known as American 42 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Meteorological Society, cited 2019: Hydrostatic balance. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Hydrostatic_balance.]" class="glossaryLink">hydrostatic balance. The word hydro means water or fluid, and static means stationary, so the name can be interpreted as a stationary fluid balance. This balance holds true for most situations in the atmosphere. The hydrostatic equation is given by where g = -9.8 m·s-2 is the acceleration due to gravity. The negative sign here is due to the fact that pressure is decreasing as height increases so the left-hand side will be negative. If you plan to use the above equation to calculate changes in altitude (Δz) with changes in pressure (ΔP) or vise versa, note that the above equation applies best over small changes. If the change in pressure or altitude is large, the exponential equation for P(z) defined above is best. Hypsometric Equation You have learned that air pressure decreases with height, but sometimes we want to know the distance or thickness between two different pressure levels. The atmospheric thickness varies depending on the average temperature in the layer. Warmer air is spaced out more, so a warmer layer of air will be thicker, while ATMO 200 • 43 a cooler layer of air will be thinner. By knowing the average temperature of the layer, and the top and bottom pressure levels, you can calculate the thickness of the atmospheric layer. The American Meteorological Society, cited 2019: Hypsometric equation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Hypsometric_equation.]" class="glossaryLink">hypsometric equation allows you to calculate how pressure varies with height in an atmosphere regardless of the temperature profile. It is the result of combining the ideal gas law with the hydrostatic equation. The American Meteorological Society, cited 2019: Hypsometric equation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Hypsometric_equation.]" class="glossaryLink">hypsometric equation allows you to calculate the thickness ( z2 – z1 ) between two pressure levels, P2 and P1. The z2 and z1 values are the heights at pressure levels P2 and P1, respectively. In the above equation, the average temperature is shown. If the atmosphere is very moist, you may wish to use the average American Meteorological Society, cited 2019: Virtual temperature. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Virtual_temperature.]" 44 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL class="glossaryLink">virtual temperature between the two heights z2 and z1 instead which includes the effects of water vapor. Tv is known as the American Meteorological Society, cited 2019: Virtual temperature. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Virtual_temperature.]" class="glossaryLink">virtual temperature, defined as: where the mixing ratio (r) is the mass of water vapor per mass of dry air and uses units of kilograms of water vapor per kilograms of dry air (kg·kg-1). You will learn that many times American Meteorological Society, cited 2019: Virtual temperature. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Virtual_temperature.]" class="glossaryLink">virtual temperature can be used inside of equations in place of temperature if the effect of water vapor needs to be included. Layers of the Atmosphere In the previous sections, we talked about how both air pressure and density decrease with height, because most of the atmosphere is held close to the Earth’s surface. This change in pressure and density occurs quickly at first, but slows down at higher altitudes. Unfortunately the change in temperature with altitude is not nearly as straightforward. When we look at a ATMO 200 • 45 vertical profile of the atmosphere, we see that it can be divided into different layers in a number of ways. We can define layers by how the air temperature varies with height, by the gas composition, and even by the electrical properties of each layer. 46 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL The vertical temperature structure of Earth’s atmosphere (Public Domain) in kilometers (left axis) and miles (right axis). The layers are labeled as “spheres” and the boundaries between the layers are labeled as “pauses”. For example the troposphere is the lowest layer and the tropopause is the boundary between the troposphere and the stratosphere. The yellow line shows temperature in °C, and the cloud indicates where most of the weather occurs. As can be seen in the above figure, the air temperature decreases with height up to the tropopause, 11 km in this example. This ATMO 200 • 47 occurs because American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Radiation.]" class="glossaryLink">radiation from the sun warms the Earth’s surface, and the surface warms the air just above it. This will be discussed in further detail in later chapters. Troposphere The layer of the atmosphere that we are most familiar with is the troposphere, which extends from the surface to around 11 km. All of the every day American Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Weather.]" class="glossaryLink">weather that we experience on Earth happens within the troposphere, which is characterized by frequent rising and sinking vertical air motions. The troposphere gets its name from the root word “tropo” in Greek, which means turning. At the top of the troposphere, the air temperature stops decreasing with height in a region known as the tropopause, which separates the troposphere and the stratosphere above. The height of the tropopause varies depending on the season and location. In warmer areas near the equator, the tropopause tends to be higher (around 17 km), while in colder polar regions the tropopause is lower (around 9 km) because warm layers of air are thicker than layers of cold air. For the same reason, the tropopause is found at higher elevations in the summer, and at 48 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL lower elevations in the winter. Aircraft fly at the tropopause height. Atmospheric Boundary Layer The American Meteorological Society, cited 2019: Atmospheric boundary layer. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Atmospheric_boundary_layer.]" class="glossaryLink">atmospheric boundary layer (ABL) is located within the lowest 0.3 to 3 km of the troposphere and is affected in several ways due to its close proximity with the Earth’s surface. Airflow closest to the surface slows down due to the effect of friction, which can be amplified due to the type of terrain or amount of vegetation. Because of this, the boundary layer experiences the greatest amount of turbulence in the atmosphere. In addition, the boundary layer is warmed by the Earth’s surface during the daytime, so it is the layer that is most affected by the diurnal (day-night) heating cycle. ATMO 200 • 49 The change in temperature with altitude in the troposphere which is the lowest layer of Earth’s atmosphere. The turbulent boundary layer near the surface is also seen (shaded tan), along with the standard atmospheric lapse rate (-6.5 K·km-1), and near-surface day (red) / night (blue) temperature differences (CC BY-NC-SA 4.0). Stratosphere In the stratosphere, the air temperature increases with height, causing a temperature inversion. This inversion layer tends to keep rising and sinking tropospheric air from mixing with stratospheric air. It also prevents rising and sinking from happening in the stratosphere itself. Because of this, it is called a stratified layer. The root word “strato” means layered, or spreading out, which is a good way to describe the many layers of the stratosphere. The temperature of the stratosphere increases with height because of the presence of a gas called ozone (O3), 50 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL which heats the air through the absorption of ultraviolet (UV) American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Radiation.]" class="glossaryLink">radiation from the sun. At around 50 km, where the stratosphere is warmest (due to most of the UV American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Radiation.]" class="glossaryLink">radiation absorption occurring in the uppermost parts of the layer). The boundary known as the stratopause separates the stratosphere below from the mesosphere above. Mesosphere In the mesosphere, the air temperature once again decreases with height and the air is extremely thin with a low density. The average atmospheric pressure in this layer is about 1 mb, which means that about 99.9% of all air molecules are located below this level and only about one thousandth of the atmospheric mass is located above. You would not survive very long in the mesosphere, however, due to the extreme thinness of the air, freezing temperatures, and direct exposure to ultraviolet American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Radiation.]" class="glossaryLink">radiation. In addition, your blood would begin to boil at normal body temperatures if it were directly ATMO 200 • 51 exposed to the low air pressure. The reason that temperatures decrease with height in the mesosphere is due partially to the fact that there is not a lot of ozone to absorb UV American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Radiation.]" class="glossaryLink">radiation. Because of this, the air molecules in the mesosphere lose more American Meteorological Society, cited 2019: Energy. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Energy.]" class="glossaryLink">energy than they absorb. At about 85 km near the mesopause, the atmosphere is at its coldest at about -90°C. The mesopause separates the mesosphere from the thermosphere above. Thermosphere In the thermosphere, the air density is extremely low so even a small amount of American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Radiation.]" class="glossaryLink">radiation absorption can lead to a large increase in temperature. Molecules can travel for entire kilometers without colliding into another molecule. This is the layer where auroras occur as a result of interactions between charged solar particles and air molecules. At the top of the thermosphere, at above 500 km above the Earth’s surface, molecules can actually escape the gravitational 52 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL pull of the Earth. This region is known as the exosphere, and represents the upper limit of the atmosphere. ATMO 200 • 53 This figure illustrates the relative heights of different phenomena in the various vertical layers of the atmosphere. The Kármán Line at 62 miles (100 km) designates the boundary between Earth’s atmosphere and outer space. Image by NOAA Satellites (Public Domain). 54 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL The previous figure shows the levels in Earth’s atmosphere and the phenomena and activities that occur there. For example, commercial jet airplanes fly at the base of the stratosphere, while the International Space Station is positioned in the thermosphere. Chapter 1 contained a vast array of topics, from defining temperature and pressure, to describing atmospheric vertical structure and components. As a reminder, these were our learning goals: 1. Convert between temperature units of Fahrenheit, Celsius, and Kelvin 2. Use mathematical formulas to define atmospheric temperature, pressure, and density 3. Compute pressure and density changes with altitude 4. Describe the vertical structure of Earth’s atmosphere 5. Define and apply the ideal gas law 6. Describe American Meteorological Society, cited 2019: Hydrostatic balance. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Hydrostatic_balance.]" class="glossaryLink">hydrostatic balance 7. Discuss the difference between American Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Weather.]" ATMO 200 • 55 class="glossaryLink">weather and American Meteorological Society, cited 2019: Climate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Climate.]" class="glossaryLink">climate 8. Note the location of terminology, coordinate systems, and units for future reference The next section will discuss American Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Weather.]" class="glossaryLink">weather vs. American Meteorological Society, cited 2019: Climate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Climate.]" class="glossaryLink">climate and various terms and coordinate systems that are useful to review. Weather and Climate: What’s the Difference? Occasionally the terms “American Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Weather.]" class="glossaryLink">weather” and “American Meteorological Society, cited 2019: Climate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Climate.]" class="glossaryLink">climate” get confused with one another. American Meteorological Society, cited 2019: Climate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Climate.]" class="glossaryLink">Climate change has been 56 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL a hot topic in recent decades. Knowing this, you might conclude that when the American Meteorological Society, cited 2019: Climate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Climate.]" class="glossaryLink">climate changes — it must be a pretty big deal, however, the American Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Weather.]" class="glossaryLink">weather is in a constant state of change. If it weren’t, we would have little need to check the Internet or local American Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Weather.]" class="glossaryLink">weather station to see what the sky is going to look like tomorrow. Nobody bats an eye when the American Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Weather.]" class="glossaryLink">weather is different from one day to the next. What do we mean exactly by the terms American Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Weather.]" class="glossaryLink">weather and American Meteorological Society, cited 2019: Climate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Climate.]" class="glossaryLink">climate? American Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Weather.]" ATMO 200 • 57 class="glossaryLink">Weather refers to the present condition of the atmosphere at any given time and place. This includes the following elements. Air Temperature — how hot or cold the air is. Air Pressure — the force the air exerts on the surface. Humidity — the amount of water vapor present in the air. Clouds — masses of water droplets and/or ice crystals that obscure parts of the sky. American Meteorological Society, cited 2020: Precipitation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Precipitation.]" class="glossaryLink">Precipitation — water (solid or liquid) that falls from clouds and reaches the ground Visibility — the maximum horizontal distance that can be seen. This can be affected by the presence of fog or American Meteorological Society, cited 2020: Precipitation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Precipitation.]" class="glossaryLink">precipitation. Wind — the horizontal flow of air, caused by local differences in air pressure. American Meteorological Society, cited 2019: Climate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Climate.]" class="glossaryLink">Climate represents the average range of American Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Weather.]" class="glossaryLink">weather events in a region over a long 58 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL period of time including American Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Weather.]" class="glossaryLink">weather extremes such as heat waves or cold spells, as well as the frequency of these events. One way to think of it is American Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Weather.]" class="glossaryLink">weather influences the kind of clothing we might wear that day, e.g., Will I need a raincoat? Is it too warm to wear long sleeves? Is it too cool to wear shorts? American Meteorological Society, cited 2019: Climate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Climate.]" class="glossaryLink">Climate, on the other hand, influences what clothing we buy. For example, in Hawaiʻi, it isn’t likely that you would need to buy a heavy winter jacket. Chapter 1 Reference Guide: Coordinate Systems, Units, Terminology This reference guide covers some topics that are outlined in Roland Stull’s Practical Meteorology: An Algebra-based Survey of Atmospheric Science Chapter 1, which may be useful to you going forward. These topics include the following. Meteorological Conventions: This section describes standard meteorological conventions that are necessary to keep in mind when solving problems in this ATMO 200 • 59 course. It includes different coordinate systems, including Cartesian coordinates, polar coordinates, and spherical coordinates. You are likely already well acquainted with Cartesian coordinates, but polar and spherical coordinates may be new to you. The standard way of describing and plotting wind direction is also given here. Cartesian coordinates: x, y, and z and velocity: u, v, and w. Polar coordinates: direction and magnitude. Wind in Cartesian coordinates: (U, V) Wind in Polar coordinates: (α, M) Algebraically, wind is given a magnitude (wind speed) and a direction. Wind direction is split up into different components. When only horizontal wind motion is taken into account, we use U and V, and vertical air motions are denoted by W. U -> Wind in the x-direction V -> Wind in the y-direction W -> Wind in the z-direction (vertical air motion) Because of this, wind can be plotted using polar coordinates, wind direction (dir) and wind magnitude (spd). Wind directions are given by angle, with 0° to the north, and degrees increasing clockwise. Winds are described using the direction from which they come. A westerly wind is a wind from the west. Hawaiʻi is often impacted by the easterly or northeasterly American Meteorological Society, cited 2020: Trade Winds. Glossary of Meteorology. [Available online at 60 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL http://glossary.ametsoc.org/wiki/Trade_winds.]" class="glossaryLink">trade winds, which come from the east and northeast. Sometimes, cylindrical coordinates (M, α, W) are used which are similar to polar coordinates in that magnitude and direction of wind velocity are used, but also include the vertical motion component W. The Stull text uses the words “ordinate” and “abscissa”. Ordinate is simply the vertical axis (typically the y-axis) and abscissa is the horizontal axis (typically the x-axis). Independent variables are usually plotted on the x-axis, with dependent variables plotted on the y-axis. Earth Frameworks Reviewed: The Earth is not a sphere, but it is pretty close. The distance between the center of the Earth and the north and south poles differs by about 20 km, so the Earth is referred to as an oblate spheroid. Cartography: Meridians, which are north-south lines on a globe, are given by ATMO 200 • 61 degrees longitude. Think of the distance between the north and south poles as long. The prime meridian lies at 0° longitude, and passes through Greenwich, Great Britain. East of here (defined as the Eastern Hemisphere, 0 – 180 °E), longitude is positive. West of the prime meridian (Western Hemisphere, 0 – 180 °W), longitude is negative. The Earth rotates counterclockwise about its axis. Parallels, which are east-west lines on a globe, are given by degrees latitude. A good way to remember this is “Lat” rhymes with “flat” — just like the east-west horizontal (flat) lines of latitude. The Equator is 0° latitude, with latitudes north of the Equator as positive (Northern Hemisphere: 0 – 90°N), and latitudes south of the Equator are negative (Southern Hemisphere: 0 – -90°S). A helpful approximation between degrees of latitude and distance is that each degree of latitude is approximately 111 km, or about 60 nautical miles. Chapter 1: Questions to Consider 1. Drag and drop the correct labels to the appropriate layers of the atmosphere. 62 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL An interactive or media element has been excluded from this version of the text. You can view it online here: http://pressbooks-dev.oer.hawaii.edu/ atmo/?p=5 2. Mauna Kea on Hawaiʻi Island is 13,803 feet tall at the summit. If the pressure at sea level is 1015 hPa and the scale height is 8 km, what is the pressure at the summit? (Hint: don’t forget to check the units!) 3. The pressure at the ground floor of a high-rise building is 1012 hPa. On the roof the pressure is 1007 hPa. If you assume that the air density is 1.2 kg·m-3 and acceleration due to gravity is -9.8 m·s-2, approximately how tall is the building? 4. In this chapter you learned about two different equations that describe the change in air pressure (P) with altitude (z): When is the exponential equation ATMO 200 • 63 preferable? When is the hydrostatic equation preferable? In questions two and three above, which equation did you use, and would your answers change if you used the other instead? Think about the assumptions that go into each equation and which variables are assumed to remain constant while pressure varies. Selected Practice Question Answers: An interactive or media element has been excluded from this version of the text. You can view it online here: http://pressbooks-dev.oer.hawaii.edu/atmo/?p=5 Chapter 2: Solar and Infrared Radiation ALISON NUGENT AND SHINTARO RUSSELL Learning Objectives By the end of this chapter, you should be able to: 1. Define black body American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Radiation.]" class="glossaryLink">radiation and Planck’s Law 64 ATMO 200 • 65 2. Apply American Meteorological Society, cited 2019: Wien’s law. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Wien%27s_law.]" class="glossaryLink">Wien’s law to compute the maximum emission wavelength 3. Use Stefan-Boltzmann’s law to compute radiative emittance 4. Describe Earth’s surface American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Radiation.]" class="glossaryLink">radiation budget, including shortwave and longwave components 5. Define and differentiate obliquity, eccentricity, and precession 6. Describe the cause of seasons on Earth 7. Describe the diurnal cycle of radiative fluxes Introduction Outside on a sunny day, you can feel the sun’s American 66 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Meteorological Society, cited 2019: Energy. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Energy.]" class="glossaryLink">energy on your skin. You can feel it in the form of heat due to the transfer of American Meteorological Society, cited 2019: Energy. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Energy.]" class="glossaryLink">energy between objects. Standing under the shade of a tree (which blocks the sun’s rays) makes a significant difference in temperature and your probability of getting a sunburn. The closest Earth gets to the Sun is approximately 93 million miles. How does the sun’s American Meteorological Society, cited 2019: Energy. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Energy.]" class="glossaryLink">energy reach so far? The answer is in American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Radiation.]" class="glossaryLink">radiation. American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Radiation.]" class="glossaryLink">Radiation is the primary mechanism of American Meteorological Society, cited 2019: Energy. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Energy.]" class="glossaryLink">energy transfer on Earth, including the transfer of American Meteorological Society, cited 2019: Energy. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Energy.]" class="glossaryLink">energy from the Sun to the Earth over great distances through the vacuum of space. ATMO 200 • 67 A setting sun with an orange sky shining over a breaking ocean wave (CC BY 2.0). Radiation American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Radiation.]" class="glossaryLink">Radiation can be thought of in two ways: electromagnetic waves or as photons. For the purpose of atmospheric science, we will generally consider American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Radiation.]" class="glossaryLink">radiation as a wave rather than a photon particle. American Meteorological Society, cited 2019: Electromagnetic radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Electromagnetic_radiation.]" class="glossaryLink">Electromagnetic radiation is a type of 68 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL American Meteorological Society, cited 2019: Energy. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Energy.]" class="glossaryLink">energy produced by electric and magnetic fields, taking a variety of names depending on the wavelength. For example, you’ve probably heard of radio waves and x-rays, whereby the primary difference is the wavelength of the waves in each. The next image shows the relationship between wavelength, frequency, and temperature. We will go into further detail later, but colder objects radiate at lower frequencies and longer wavelengths, and warmer objects radiate at higher frequency and shorter wavelengths. This relationship holds true across all scales, from atomic nuclei to planets, and across temperatures from near absolute zero to 10s of millions of Kelvins. The electromagnetic energy spectrum, including penetration of Earth’s atmosphere (top), wavelength visual (red line), radiation type (name given), wavelength value (m), wavelength scale (image), frequency (Hz), and temperature of black body objects that emit at that wavelength of radiation (CC BY-SA 3.0). ATMO 200 • 69 Wave Propagation How fast does the Sun’s American Meteorological Society, cited 2019: Electromagnetic radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Electromagnetic_radiation.]" class="glossaryLink">electromagnetic radiation travel to Earth and how can we characterize the waves? All electromagnetic waves travel at the speed of light (often given the variable “c0“, approximately 3×108 m·s–1). The waves have a wavelength (λ) given by the distance from one wave crest to the next. The waves also have a frequency (v), which is the number of repeated wave occurrences in a specified period of time. The unit for frequency is Hertz (cycles per second). Finally, one can also define a wavenumber for waves, which is one over the wavelength, or the number of waves in each meter, σ (cycles·m–1) = 1 / λ. Circular frequency is defined as ω (radians·s–1) = 2π·ν. With variables for wavelength and frequency, we can very clearly define any type of wave. Hawaii Focus Box Electromagnetic waves are simply a type of wave. They can be described with some of the same words and variables as ocean waves. If you are a surfer, you 70 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL probably check the swell forecast for wave height and wave period before you head out to the water. The best waves for surfing have a long period, which helps to separate and clearly define individual waves. Wave periods larger than 12 or 14 seconds are ideal. Depending on whether you are a beginner or advanced, you might like to have a wave face height between 2 and 30 feet, respectively. A breaking ocean wave (NOAA Public Domain). Wave period is defined as the time it takes for a wave to complete one cycle. Wave period is simply the inverse of wave frequency. Wave face height is related to both wave amplitude and frequency, but is much more complicated because in the case of surfing, it is measured as the wave breaks. In the case of electromagnetic American Meteorological Society, cited 2019: Energy. Glossary of Meteorology. ATMO 200 • 71 [Available online at http://glossary.ametsoc.org/wiki/ Energy.]" class="glossaryLink">energy, the waves do not break. Characterizing Emission Where does this electromagnetic American Meteorological Society, cited 2019: Energy. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Energy.]" class="glossaryLink">energy come from? It surrounds us every moment of every day in many forms. In fact, any object warmer than absolute zero (0 K) emits radiant American Meteorological Society, cited 2019: Energy. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Energy.]" class="glossaryLink">energy. In order to estimate the amount of radiant American Meteorological Society, cited 2019: Energy. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Energy.]" class="glossaryLink">energy an object emits, a common simplification is needed: we assume an object behaves as a American Meteorological Society, cited 2019: Blackbody. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Blackbody.]" class="glossaryLink">blackbody. A American Meteorological Society, cited 2019: Blackbody. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Blackbody.]" class="glossaryLink">blackbody is an object that emits and absorbs the maximum amount of American 72 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Radiation.]" class="glossaryLink">radiation possible given its temperature. Planck’s Curves Planck’s curves are used to show the amount of emitted American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Radiation.]" class="glossaryLink">radiation and primary wavelengths of electromagnetic American Meteorological Society, cited 2019: Energy. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Energy.]" class="glossaryLink">energy that a black body emits given its temperature. The diagram below shows multiple Planck function curves for various temperature black bodies. The red line denotes an object that has a temperature of 3000 K, the green line is 4000 K, and the blue line is 5000 K. As the black body becomes hotter, it emits at shorter wavelengths and greater intensities. ATMO 200 • 73 The spectral radiance (y-axis, emitted radiation) vs. the wavelength (x-axis) of radiation emitted from black bodies of various temperatures. As the temperature of the black body increases, the amount of emitted radiation increases, and the radiation is emitted at shorter and shorter wavelengths (Public Domain). Wien’s Law Planck’s function tells us the amount of emitted American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Radiation.]" class="glossaryLink">radiation and wavelengths over which it is emitted given the temperature of the black body. We can use another law to determine the maximum wavelength emitted by a black body. American Meteorological Society, cited 2019: Wien’s law. Glossary of Meteorology. [Available online at 74 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL http://glossary.ametsoc.org/wiki/Wien%27s_law.]" class="glossaryLink">Wien’s Law states that the shorter the wavelength emitted, the hotter (more American Meteorological Society, cited 2019: Kinetic energy. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Kinetic_energy.]" class="glossaryLink">kinetic energy) the object is. In Wien’s equation, sometimes the numerator is given as “a”, a constant equal to 2897. Using Wein’s equation to find wavelength gives an answer in microns, µm. One micron is equal to 10-6 meters. 2.1 Solar Radiation Wavelength Question: Our sun is a yellow dwarf star with a surface temperature near 5800 K. What is the maximum wavelength of the American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Radiation.]" class="glossaryLink">radiation it emits? Where does ATMO 200 • 75 that American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Radiation.]" class="glossaryLink">radiation fall on the electromagnetic spectrum? Answer: Wein’s Law gives us an equation that relates temperature to the maximum wavelength of American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Radiation.]" class="glossaryLink">radiation emitted by an object: This American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Radiation.]" class="glossaryLink">radiation, 0.499 µm, is in the range of visible light, given as 0.5 × 10-6 m by the chart earlier this chapter. Stefan-Boltzmann Law One last very important law for American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Radiation.]" class="glossaryLink">radiation will be discussed 76 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL here. The American Meteorological Society, cited 2019: Stefan-Boltzmann Law. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Stefanboltzmann_law.]" class="glossaryLink">Stefan-Boltzmann Law relates the total American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Radiation.]" class="glossaryLink">radiation emitted (total emitted power per area) to the area under Planck’s curve. This can be used to show that the hotter the object, the more American Meteorological Society, cited 2019: Energy. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Energy.]" class="glossaryLink">energy it radiates per unit area. In the above equation the amount of radiance emitted per area is equal to the temperature of the black body raised to the 4th power. This relationship is extremely important. It shows that the amount of American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Radiation.]" class="glossaryLink">radiation emitted depends heavily on temperature such that small temperature fluctuations result in large changes in emittance. ATMO 200 • 77 The Stefan-Boltzmann constant is 5.67×10–8 W·m–2·K–4 and the symbol sigma, σ, is used. Pro Tip: Whenever you see the Stefan-Boltzmann constant being used (σ), you know that the assumption of a black body has been made. Application to the Earth-Sun System In the prior section, the discussion turned rather technical. We went down a rabbit hole of American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Radiation.]" class="glossaryLink">radiation wavelengths, total emitted power per area, and the assumption of black bodies. We did this so that we could understand basic relationships about the American Meteorological Society, cited 2019: Energy. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Energy.]" class="glossaryLink">energy balance in the Earth-Sun system. The Sun’s average temperature is above 5,000 K while the Earth’s average temperature is in the range 210-310 K (we will discuss this further in a later chapter). This means that the Sun and Earth radiate American Meteorological Society, cited 2019: Energy. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Energy.]" class="glossaryLink">energy very differently. The Sun emits solar American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Radiation.]" 78 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL class="glossaryLink">radiation, also known as ultraviolet American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Radiation.]" class="glossaryLink">radiation or shortwave American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Radiation.]" class="glossaryLink">radiation. The Earth emits infrared American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Radiation.]" class="glossaryLink">radiation or longwave American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Radiation.]" class="glossaryLink">radiation. This follows directly from the electromagnetic American Meteorological Society, cited 2019: Energy. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Energy.]" class="glossaryLink">energy spectrum and the respective temperatures of the Sun and Earth. The Sun emits American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Radiation.]" class="glossaryLink">radiation at a shorter wavelength than the Earth because it has a higher temperature, and Planck’s curve for higher temperatures peaks at shorter wavelengths. It is for this reason that Earth’s American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Radiation.]" class="glossaryLink">radiation is referred to as longwave, and the Sun’s American Meteorological Society, ATMO 200 • 79 cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Radiation.]" class="glossaryLink">radiation is called shortwave. We learned that a black body absorbs all incoming American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Radiation.]" class="glossaryLink">radiation and emits the maximum possible American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Radiation.]" class="glossaryLink">radiation given its temperature. In the Earth-Sun system, this means that the Earth absorbs all incoming American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Radiation.]" class="glossaryLink">radiation from the Sun, and emits the maximum amount given its temperature. In practice it is a little bit more complicated than this. Albedo Not all incoming solar American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Radiation.]" class="glossaryLink">radiation is absorbed by the Earth because the Earth is not a perfect black body. Instead of absorbing all incoming American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Radiation.]" 80 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL class="glossaryLink">radiation, some of it is reflected. Reflection refers to radiative American Meteorological Society, cited 2019: Energy. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Energy.]" class="glossaryLink">energy bouncing back away from an object. We can define American Meteorological Society, cited 2019: Albedo. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Albedo.]" class="glossaryLink">albedo (α) as the ratio of the amount of American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Radiation.]" class="glossaryLink">radiation reflected from an object to the amount of American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Radiation.]" class="glossaryLink">radiation received by an object. Pro Tip: The simplest way to think of American Meteorological Society, cited 2019: Albedo. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Albedo.]" class="glossaryLink">albedo is based on the color of the object. Objects that are white colored are highly reflective and have a high American Meteorological Society, cited 2019: Albedo. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Albedo.]" class="glossaryLink">albedo because the ATMO 200 • 81 amount of reflected light is large compared to the amount of incoming incident light. You’ll know this if you’ve been on a white sandy beach or a snow field and felt the brightness of the environment. Following the same logic, dark surfaces absorb light so black, brown, or dark green surfaces typically have a low American Meteorological Society, cited 2019: Albedo. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Albedo.]" class="glossaryLink">albedo. You’ll know this if you’ve walked across a black paved surface and felt the temperature difference between the blacktop and the white painted parking space demarcations. Earth has an American Meteorological Society, cited 2019: Albedo. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Albedo.]" class="glossaryLink">albedo of about 0.3 or 30%. This is an average that takes into account the high American Meteorological Society, cited 2019: Albedo. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Albedo.]" class="glossaryLink">albedo and high latitude regions that are snow covered as well as the clouds and the much lower American Meteorological Society, cited 2019: Albedo. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Albedo.]" class="glossaryLink">albedo oceans. Note that American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Radiation.]" class="glossaryLink">radiation reflected from an object does not warm the object. 82 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Surface Energy Balance Arguably the most important aspect to consider about the EarthSun system is the American Meteorological Society, cited 2019: Energy. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Energy.]" class="glossaryLink">energy balance. In American Meteorological Society, cited 2019: Steady state. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Steady_state.]" class="glossaryLink">steady-state, the amount of incoming American Meteorological Society, cited 2019: Energy. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Energy.]" class="glossaryLink">energy should equal the amount of outgoing American Meteorological Society, cited 2019: Energy. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Energy.]" class="glossaryLink">energy (Net Radiative Flux=F*=0). Let’s start with the incoming solar American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Radiation.]" class="glossaryLink">radiation. The solar constant “S” is approximately equal to 1361 W·m-2. This value is a rough estimate of the amount of American Meteorological Society, cited 2019: Energy. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Energy.]" class="glossaryLink">energy per area received by the Earth from the Sun, but it is not exact. We call it a solar “constant” but it can be slightly lower or higher at times. American ATMO 200 • 83 Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Radiation.]" class="glossaryLink">Radiation emitted from a spherical source, like the sun, decreases by the square of the distance from the sphere’s center. This is called the inverse square law. The following equation is a basic budget equation. Net American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Radiation.]" class="glossaryLink">radiation (F*) is equal to the incoming solar American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Radiation.]" class="glossaryLink">radiation (K↓), the reflected solar American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Radiation.]" class="glossaryLink">radiation (K↑), the longwave American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Radiation.]" class="glossaryLink">radiation emitted by the Earth (I↑), and the downwelling longwave American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Radiation.]" class="glossaryLink">radiation emitted from the atmosphere (I↓) received by the Earth’s surface. 84 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Some of the sunlight that reaches the surface of the Earth is reflected, depending on the American Meteorological Society, cited 2019: Albedo. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Albedo.]" class="glossaryLink">albedo, K↑ is often written in the following way: This is a brief introduction to a surface American Meteorological Society, cited 2019: Energy. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Energy.]" class="glossaryLink">energy balance model. As you may imagine, it can become much more complicated depending on the factors involved. It also strongly depends on the number of layers considered in the model. We will discuss this further in a later chapter. ATMO 200 • 85 Earth’s radiative balance, incoming and outgoing radiation. (NASA Public Domain). Description in the text below. For now, you should understand that incoming solar American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Radiation.]" class="glossaryLink">radiation is called shortwave American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Radiation.]" class="glossaryLink">radiation and is in the ultraviolet and visible portions of the electromagnetic spectrum because of the emission temperature of the Sun. When solar American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Radiation.]" class="glossaryLink">radiation interacts with the Earth, it is partially absorbed by the Earth’s surface, and partially reflected, depending on the American Meteorological Society, cited 2019: Albedo. Glossary of Meteorology. 86 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL [Available online at http://glossary.ametsoc.org/wiki/Albedo.]" class="glossaryLink">albedo of the surface. In the diagram above, you can see that some of the incoming solar American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Radiation.]" class="glossaryLink">radiation is reflected by clouds, some is reflected by the Earth’s surface, but most is absorbed by the Earth’s surface or the atmosphere. You should also understand that Earth emits American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Radiation.]" class="glossaryLink">radiation too. However, it is at a lower intensity and a much longer wavelength, which is called the infrared portion of the electromagnetic spectrum because of the lower emission temperature of the Earth. American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Radiation.]" class="glossaryLink">Radiation is emitted by the Earth’s surface, and by the atmosphere. We’ll go into more detail on this later. Pro Tip: Many synonyms were discussed above. When referring to American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Radiation.]" class="glossaryLink">radiation from the sun you may hear the following words used: solar American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online ATMO 200 • 87 at http://glossary.ametsoc.org/wiki/Radiation.]" class="glossaryLink">radiation, shortwave American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Radiation.]" class="glossaryLink">radiation, and ultraviolet American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Radiation.]" class="glossaryLink">radiation. When referring to American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Radiation.]" class="glossaryLink">radiation from the Earth you may hear the following words used: infrared American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Radiation.]" class="glossaryLink">radiation, longwave American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Radiation.]" class="glossaryLink">radiation. Earth’s average temperature remains relatively constant as there is a balance of outgoing American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Radiation.]" class="glossaryLink">radiation and incoming American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Radiation.]" class="glossaryLink">radiation. 88 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Radiation Interaction with the Atmosphere The diagram below shows the spectral intensity of downgoing solar American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Radiation.]" class="glossaryLink">radiation (UV and visible in red) and upgoing thermal American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Radiation.]" class="glossaryLink">radiation (IR in blue). The panels below the spectral intensity graph show the total percentage of American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Radiation.]" class="glossaryLink">radiation absorbed and scattered by the atmosphere as a function of wavelength, and divided up by the primary American Meteorological Society, cited 2019: Greenhouse gases. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Greenhouse_gases.]" class="glossaryLink">greenhouse gases in the atmosphere. American Meteorological Society, cited 2019: Greenhouse gases. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Greenhouse_gases.]" class="glossaryLink">Greenhouse gases are gases in the Earth’s atmosphere that can absorb and emit American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Radiation.]" class="glossaryLink">radiation, primarily infrared American Meteorological Society, cited 2019: ATMO 200 • 89 Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Radiation.]" class="glossaryLink">radiation. The greenhouse gas that interacts with American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Radiation.]" class="glossaryLink">radiation across the largest number of wavelengths is water vapor (H2O), which interacts strongly with the atmosphere, especially in the longer wavelength portion of the spectrum. Other gases, such as Carbon Dioxide (CO2), Oxygen (O2), Ozone (O3), Methane (CH4), and Nitrous Oxide (NO) also interact with American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Radiation.]" class="glossaryLink">radiation. 90 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Radiation transmitted by the atmosphere as a function of wavelength. Downgoing solar radiation is on the left, and upgoing thermal radiation is on the right, with the percentage of radiation absorbed and scattered by the Earth’s atmosphere below. Finally, the percentage of radiation absorbed and scattered is then divided by the major greenhouse gases in the panels at the bottom (CC BY-SA 3.0). In the panel of the figure above showing the total percentage of American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Radiation.]" class="glossaryLink">radiation that is absorbed by the Earth’s ATMO 200 • 91 atmosphere, you’ll notice white gaps. These are called American Meteorological Society, cited 2019: Atmospheric Window. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Atmospheric_window.]" class="glossaryLink">Atmospheric Windows where the wavelength of American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Radiation.]" class="glossaryLink">radiation is able to pass through the atmosphere without interaction with American Meteorological Society, cited 2019: Greenhouse gases. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Greenhouse_gases.]" class="glossaryLink">greenhouse gases. Particularly notable is the visible portion of the electromagnetic American Meteorological Society, cited 2019: Energy. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Energy.]" class="glossaryLink">energy spectrum that can pass through the atmosphere unimpeded. Also notable is the large amount of interference in the infrared portion of the spectrum. Earth’s atmosphere is practically transparent for shortwave American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Radiation.]" class="glossaryLink">radiation, and it strongly absorbs infrared American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Radiation.]" class="glossaryLink">radiation. This will be important for American Meteorological Society, cited 2019: Climate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ 92 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL wiki/Climate.]" class="glossaryLink">climate factors discussed in a later chapter. Open-ended Question: Why do you think visible light (the peak of down-going solar American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Radiation.]" class="glossaryLink">radiation) is centered on an atmospheric window? The interaction of atmospheric gases in Earth’s atmosphere is an important part of its American Meteorological Society, cited 2019: Energy. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Energy.]" class="glossaryLink">energy balance. The greenhouse effect is the result of American Meteorological Society, cited 2019: Greenhouse gases. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Greenhouse_gases.]" class="glossaryLink">greenhouse gases absorbing and emitting outgoing infrared American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Radiation.]" class="glossaryLink">radiation emitted from Earth’s surface. Because Earth’s outgoing longwave American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Radiation.]" class="glossaryLink">radiation is partially absorbed by the atmosphere, this has a warming effect on Earth’s surface making it warmer than it would be otherwise. While the ATMO 200 • 93 greenhouse effect has a bad reputation, this process has in fact allowed Earth to be habitable. Radiation Changes with Time The amount of American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Radiation.]" class="glossaryLink">radiation the Earth receives from the Sun varies over many time scales, from thousands of years, to one year, to daily time periods. These will be discussed in the following sections. Changes in solar American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Radiation.]" class="glossaryLink">radiation on both daily and annual time scales can be explained by Earth’s orbital path around the Sun. These aspects will be discussed more thoroughly in a later chapter, but for now, let’s have a brief introduction. There are three primary factors to consider: eccentricity, obliquity, and precession. Eccentricity is the circularity of a planetary orbit. For example, a circle has zero eccentricity. Obliquity is the degree of tilt in the axis of rotation. Finally, precession is the wobble in the rotational axis of a planet that slowly traces out a cone. The three orbital parameters are shown in the image below. 94 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Visual displaying three orbital parameters: eccentricity, obliquity, and precession (NASA Public Domain). Currently the Earth has a 0.0167 orbital eccentricity, 23.44 degree tilt from vertical, and precesses on very long time scales. In fact, all of these factors change slightly over very long time scales but for now, let’s consider them to be constant. Seasonal Changes Seasons occur due to changes in solar American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Radiation.]" class="glossaryLink">radiation that come from the position of Earth with respect to the Sun. The diagram below shows the position of the Earth with respect to the sun during each of the four seasons. ATMO 200 • 95 Schematic diagram showing the reason Earth has seasons (CC BY-SA 4.0). During summertime in each hemisphere, the hemisphere is facing toward the sun. For example, in June in the Northern Hemisphere summer, the sun shines more directly on the Northern Hemisphere than the Southern Hemisphere. While it seems like a small change, the sun angle and the amount of 96 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL solar American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Radiation.]" class="glossaryLink">radiation absorbed (per area) varies significantly throughout the year. This is because in addition to changing the angle of the Sun, the position of the Earth also changes the length of day throughout the year. Seasons are due to the tilt of the Earth. If the Earth’s rotation was not tilted, it would not have seasonal changes. Pro Tip: The cause of seasons on Earth is the topic of a common misperception. Earth’s seasons are caused by its tilted orbit. While it is true that Earth’s orbit is not spherical, and it is closer to the Sun during Northern Hemisphere winter, the distance from Earth to the Sun is not the cause of seasons. The diagram below shows the summer season in the Southern Hemisphere where there is a higher density of incident rays due to the higher Sun angle. The Northern Hemisphere is experiencing wintertime. When the Sun’s rays are at an angle as they are in the Northern Hemisphere, the same amount of American Meteorological Society, cited 2019: Energy. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Energy.]" class="glossaryLink">energy is spread over a larger area than they would be if the Sun’s rays were perpendicular to the surface. Again, the angle of the Sun’s rays and the length of day change because of the Earth’s tilt. ATMO 200 • 97 Distribution of solar rays on Earth, with the summer season receiving the majority of the solar radiation (Public Domain). Daily Changes Daily changes are also called “diurnal.” The Earth absorbs American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Radiation.]" class="glossaryLink">radiation from the Sun during the daytime. This is only true for one location, but accounts for the increase in temperature throughout the day from a point perspective. What we likely have not experienced directly is that the Earth emits infrared American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Radiation.]" class="glossaryLink">radiation all day and night. The lack of incoming solar American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Radiation.]" 98 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL class="glossaryLink">radiation and the emission of infrared American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Radiation.]" class="glossaryLink">radiation is what accounts for the decrease in temperature at night. The combination of nonstop outgoing longwave radiational cooling from Earth’s radiative emissions and daytime solar shortwave radiational heating results in a diurnal cycle of net American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Radiation.]" class="glossaryLink">radiation and temperature, as seen below. The amount of radiative energy (y-axis, in W m-2) as a function of time (x-axis, in hours). Yellow shows net warming and blue shows net cooling. The temperature is coolest at sunrise, warms during the day and reaches its maximum temperature in the late afternoon. (Image Created by Britt Seifert). ATMO 200 • 99 In this chapter we focused on the American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Radiation.]" class="glossaryLink">radiation: how we can define and describe it by wavelength and intensity; the temperatures it corresponds to as well as how it changes over time scales. As a reminder, these were our learning goals: 1. Define black body American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Radiation.]" class="glossaryLink">radiation and Planck’s Law 2. Apply American Meteorological Society, cited 2019: Wien’s law. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Wien%27s_law.]" class="glossaryLink">Wien’s law to compute the maximum emission wavelength 3. Use Stefan-Boltzmann’s law to compute radiative emittance 4. Describe Earth’s surface American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Radiation.]" class="glossaryLink">radiation budget, including shortwave and longwave components 5. Define and differentiate obliquity, eccentricity, and 100 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL precession 6. Describe the cause of seasons on Earth 7. Describe the diurnal cycle of radiative fluxes In the following chapter, we’ll begin to see how this American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Radiation.]" class="glossaryLink">radiation does American Meteorological Society, cited 2019: Work. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Work.]" class="glossaryLink">work, and what that means for the environment. Chapter 2: Questions to Consider 1. Are the following statements about American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Radiation.]" class="glossaryLink">radiation true or false? An interactive or media element has been excluded from this version of the text. You can view it online here: ATMO 200 • 101 http://pressbooks-dev.oer.hawaii.edu/ atmo/?p=72 2. Describe the relationship between wavelength, American Meteorological Society, cited 2019: Energy. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Energy.]" class="glossaryLink">energy emission, and the temperature of an object. 3. If the temperature of the Earth is 257 K, what is the total radiative flux emitted? What is the peak emission wavelength? 4. How would the seasons change if the Earth’s tilt were greater? Selected Practice Question Answers: An interactive or media element has been excluded from this version of the text. You can view it online here: http://pressbooks-dev.oer.hawaii.edu/atmo/?p=72 Chapter 3: Thermodynamics ALISON NUGENT AND DAVID DECOU Learning Objectives By the end of this chapter, you should be able to: 1. Define and describe four methods of energy transfer 2. Describe the change in energy associated with changes in water state 3. Define and apply the first law of thermodynamics 4. Differentiate Eulerian and Lagrangian frameworks 5. Describe the importance of the dry 102 ATMO 200 • 103 adiabatic lapse rate, and recall what sets its constant value in the atmosphere 6. Compute potential temperature and apply the conserved variable approach 7. Draw a diagram of surface heat fluxes and Earth’s radiation budget 8. Compute the Bowen ratio, and define latent and sensible heat flux Introduction What is Energy? You may hear frequently about “green energy”, “clean energy”, “renewable energy”, and “solar energy” in the media, as energy is currently a hot topic. Power plants, wind turbines, and solar panels may come to mind. The first paragraph in Roland Stull’s Practical Meteorology Chapter 3 discusses several types of energy right off the bat, but first of all, what is energy? 104 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Convective clouds in the atmosphere are driven by an enormous source of energy called latent heat (CC BY-SA 2.0). Your intuition will probably tell you that we need energy in order to do things. Energy makes stuff “go”. Your appliances, your car, and your body all need energy. Your body utilizes energy to maintain its various functions even as you read this sentence. You know that energy is a real thing that exists; you see evidence of it everywhere. The heat from your stovetop, the ice melting in your glass, and that thunderstorm rolling in are all evidence of energy at work, on scales both micro and macro. Energy can be defined as the ability to do work. When you apply a force on an object, it is said that work is done on the object if that object is displaced, meaning it moves from its original location. For example, when you pick up a book, you exert a force against gravity causing the book to change position, and you do work on the book. The higher you lift the book or the further you throw it (should you decide to), the ATMO 200 • 105 more work you do. However, if you apply a lot of force on a heavy piece of furniture but it doesn’t move from its original place, no work has been done regardless of the amount of effort. Note: ∆ is the Greek letter delta, and denotes a change. Here, ∆d is the change in position, or the displacement. The standard unit of force is a Newton (N = kg·m·s-2), which is defined as the force required to make a mass (m) of 1 kg accelerate at 1 m·s-2. Force (F) is equal to the mass (m) of an object times its acceleration (a): F = m*a. Internal energy is the total amount of energy stored in any object and determines how much work the object is capable of performing. This includes both kinetic energy (energy that an object has when it is in motion) and potential energy (energy that is stored). For example, a bowling ball sitting on a table contains energy despite the fact it is not in motion. It does not have kinetic energy because it is still, but it contains potential energy simply because of where it is situated. Were it nudged off the table, the bowling ball will do work because it will be pulled downward by gravity. This is an example of gravitational potential energy. The potential energy (PE) due to gravitational pull is given by the following equation: 106 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Gravitational potential energy (CC BY 2.0). Anything that moves contains kinetic energy (KE), which is given by the following equation where m is the mass of an object in kilograms (kg) and v is the velocity of an object in meters per second (m·s-1). From this relationship you can see that objects with more mass or objects that are moving faster have more energy. Energy takes on many forms and often changes forms from one to the other, but the total amount of energy in the universe remains constant. Energy cannot be created or destroyed. This means that the energy lost in a process must be the same as the ATMO 200 • 107 energy gained in another. This is what the law of conservation of energy means, and this is what is known as the first law of thermodynamics. The first law of thermodynamics frequently comes into play in atmospheric motions and will be discussed further later in this chapter. In short, energy is the capacity of a system to perform work. Energy is always conserved and cannot be created or destroyed. We begin this chapter with a short review of energy because energy is ultimately responsible for Earth’s weather from temperature changes in the atmosphere to the resulting air motions. Without energy, no weather would occur. Energy Transfer One important example of kinetic energy is thermal energy, which comes from the tiny movement of many molecules in a system. In Chapter 1, we discussed how temperature is a measure of the average speed of atoms and molecules in a system. Here we can further describe temperature as being proportional to the average kinetic energy of the random motions of the molecules in a system. The faster the molecules move, the higher the temperature. The transfer of thermal energy due to the temperature difference between two objects is what is known as heat. Heat is a form of energy in transit, and once transferred, it is stored as internal energy. There are four main methods of heat transfer: conduction, convection, radiation, and the absorption or release of latent heat. 108 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Conduction, convection, and radiation are all methods of heat transfer (CC BY-SA 4.0). When you directly touch a hot object, such as the stovetop, the energy from the hot stove top is immediately transferred to your cool hand due to a difference in the speed of the molecules, causing you to feel a burn. This is an example of conduction: energy directly transferred through a substance without the movement of material. Certain materials are better conductors of heat than others. Metal, for example, conducts heat very efficiently, while air, which acts as an insulator, is a very poor conductor of heat. Another type of energy transfer is convection, which occurs in liquids and gases (both fluids) because molecules can move freely and currents can naturally occur in them. This happens constantly in the atmosphere. Convection refers to movement within a fluid due to the tendency of lower density fluid to rise over higher density fluid, which sinks due to the force of gravity resulting in heat transfer within the fluid. ATMO 200 • 109 In the figure below, a beaker is being heated from the bottom by a flame. The arrows show upward movement in the center where the fluid is heated and therefore is less dense and buoyant. The cooler fluid at the top of the beaker is more dense and sinks toward the bottom under the influence of gravity. Arrows show the motion of convection within a fluid that is heated from the bottom (CC BY 2.0). Finally, when it comes to the atmosphere, the most important form of energy is the energy we get from the Sun, which is called radiant energy or radiation. Radiation is another type of heat transfer that was covered in Chapter 2. Remember that radiant energy can be transferred to an object without the space in between being heated. This is the result of electromagnetic waves from the Sun, which are then absorbed by the Earth’s 110 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL surface or atmosphere and converted to thermal energy. Electromagnetic waves do not need any matter to travel through and propagate at the speed of light in a vacuum which is about 300,000 km·s–1. Heat, or the transfer of thermal energy due to the difference in temperature between two objects, is defined as ∆q and is given in standard units of joules per kilogram (J·kg–1). One joule (J) is the standard unit of energy or work (kg·m2·s-2). Latent Heat Latent heat refers to the amount of heat that is added or removed from a system when a change of phase takes place. In atmospheric science, this almost always refers to the phase changes of water (H2O). When heat is added to an ice cube, the temperature of the ice will increase until it reaches its melting point (0°C). After this point, any further addition of heat will cause the ice to melt to liquid water, but the temperature of the ice-water system will not change until the phase change is complete. The heat that is absorbed by the ice-water system from the environment in order for the phase change to occur is known as latent heat. You have experienced this as your ice melts in your water glass. It stays cold until all of the ice is gone and then rapidly warms. The absorption of latent heat is also the reason you feel cold right after leaving your shower or a body of water. The excess water on your skin starts to evaporate, but it requires additional energy in order to transition from liquid to vapor. Energy is ATMO 200 • 111 absorbed from the environment (your skin) to evaporate the remaining liquid, causing your skin to cool. This is known as evaporative cooling. Processes that take heat from the environment (melting, evaporation, sublimation) are considered cooling processes. On the other hand, processes that add heat to the environment (condensation, freezing, deposition) are warming processes because during the phase change energy is released. This is an important distinction, so be sure this is clear before moving on. I’ll repeat it below for emphasis. Pro Tip: Melting, evaporation, and sublimation are considered cooling processes because they take heat from the environment. Condensation, freezing, and deposition are considered warming processes because during the phase change energy is released and they add heat to the environment. 112 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Phase changes of water (CC BY-SA 3.0). The lower energy state is on the left, and the higher energy state is on the right. Going from left to right takes energy (cools the environment), going from right to left releases energy (warms the environment). The reason phase changes of water are so important in the atmosphere is because it acts as the energy to fuel convection and thunderstorms. When water vapor condenses to form the liquid water found in clouds, this process releases enormous amounts of latent heat to the environment. Latent heat (QE) is the latent energy that is possessed by an object of mass m, but usually we want to know the change of latent heat that is caused by a phase change process. The change in latent heat is equal to the latent heat factor multiplied by the mass of water undergoing a phase change. ATMO 200 • 113 The y-axis of this figure shows the state of water at different temperatures. The x-axis shows the amount of energy applied to the water. When water reaches 0°C and 100°C, the melting/freezing and boiling points of water, respectively, the temperature stops increasing while energy is still being applied. Instead of increasing the water’s temperature, this energy is instead going into the processes of melting and evaporation. From here, you can see that the latent heat of vaporization is much greater than the latent heat of melting, because much more energy is applied while the temperature remains the same (CC BY-NC-SA 4.0). Different phases of water have different latent heat factors (L), meaning the change in phase of a mass of water corresponding to the change in latent heat is different depending on what process is taking place. This is well displayed in the image 114 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL above by the horizontally flat regions where energy is going into the system but no temperature change is occurring. For evaporation or condensation (phases changes between liquid water and vapor), the latent heat of vaporization, Lv = 2.5 * 106 J·kg–1 is used. For melting or freezing (phase changes between ice and liquid water), the latent heat of fusion or freezing, Lf = 3.34 * 105 J·kg–1 is used. Specific Heat Latent heat is the term for the amount of heat released from changes in phase, but what about changes in temperature unassociated with phase changes? These portions are the slanted lines in the figure above where energy is going into the system and the temperature is responding. Specific heat or heat capacity (C) is the term for the amount of heat required to raise the temperature of a substance by a certain amount. Typically this is defined at a constant pressure (Cp) or a constant volume (Cv). Some substances, such as water, require a particularly large amount of heat energy in order for the temperature to change. The heat capacity of a substance is the ratio of heat energy that is absorbed to the corresponding rise in temperature. The specific heat is the heat capacity of a substance per a unit mass. Basically, specific heat is the amount of heat that is needed in order to raise the temperature of one gram (g) of a substance by one degree Celsius, or Kelvin. For example, the specific heat of pure water is 4186 Joules per ATMO 200 • 115 degree Kelvin per kilogram (J·K-1·kg-1), while the specific heat of dry air at sea level (Cpd) is about 1004 J·K-1·kg-1. The specific heat of dry air at constant volume (Cvd) is equal to 717 J·kg–1·K-1. This means that it takes much more energy to raise 1 kg of water by 1°C than it does for 1 kg of dry air. Remember that Celsius and Kelvin have a linear relationship so the change in temperature of one degree Celsius is the same as a change of one degree Kelvin (K = °C + 273). Hawaii Focus Box The difference in specific heat capacity of water and land leads to different annual cycles of air temperature and water temperature in Hawaii. The heat capacity of sea water is about 3985 J·K-1·kg-1 while the heat capacity of land is typically less than 1000 J·K-1·kg-1. This means that land heats up faster and cools down faster while the ocean takes longer to warm and also takes longer to cool. The warmest temperatures in Hawaii typically follow the solar cycle with a slight lag. The warmest temperatures in the Northern Hemisphere occur during the time periods where the Sun’s angle is highest and the length of day is longest as we discussed in Chapter 2. This typically corresponds to June through August. However, the warmest ocean temperatures lag the land temperatures significantly by a few months because water takes more energy to warm. The warmest ocean temperatures occur from August through October. 116 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL There is some feedback where the warm ocean temperatures affect land temperatures as well, but it all comes down to the difference in specific heat. First Law of Thermodynamics As stated previously, the first law of thermodynamics states that energy is neither created nor destroyed. The total amount of energy must be conserved. In the atmosphere, this means that the amount of heat applied to a mass of air (thermal energy input) must equal the total sum of the warming of the air, plus the amount of work done per unit mass of air. When heat (∆q, J·kg–1) is added to a mass of air (often referred to as an air parcel, see below), some of the added thermal energy warms the air, which increases its internal energy. When the air parcel warms, one of two things must happen. Recall the ideal gas law from Chapter 1: P=ρ*Rd*T. If temperature increases, (1) density must decrease to keep pressure constant or (2) the pressure will increase. Small pressure differences in the atmosphere always equalize first, so as the air warms, the density of the air parcel decreases. The decreased density of the air parcel gives it a lower density than the surrounding air, and it is therefore buoyant and begins to rise. As the parcel rises, it expands in volume in order to maintain equilibrium with the lower pressure outside the air mass, and it pushes into the surrounding atmosphere. Because of this, some of the thermal energy that is added to the air goes into doing the work of expansion and not all of it is used for warming. ATMO 200 • 117 For the atmosphere, a more usable form of the First Law of Thermodynamics is: In the atmospheric form of the First Law of Thermodynamics, Cp*ΔT can also be redefined as Enthalpy (h), a term to quantify the total heat content of an air parcel. This gives us the first term in the above equation for the first law of thermodynamics. Frameworks for Understanding the Atmosphere All atmospheric science concepts are shared with other disciplines like physics and chemistry, but they often use a more specific set of equations or variables as shown above with 118 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL the first law of thermodynamics. This helps to simplify things because general physics equations can be applied to nearly any form of matter, while in atmospheric science we primarily deal with gases that are not constrained to a specific volume. In the two sections that follow, two important frameworks are described that will help you to view the atmosphere in ways that will simplify concepts in the sections and chapters to come. Lagrangian vs. Eulerian When we look at or try to solve a problem in the atmosphere, there are two different lenses or frameworks through which we can view the problem. An Eulerian framework is a fixed framework, relative to a single point on the Earth’s surface. When a weather forecast is done for a given location on Earth or when you look at a dataset from one weather station, you are viewing the atmosphere from an Eulerian perspective — that is, how the wind and air travels past a fixed point. With a Eulerian framework, we need to be concerned about things like temperature and moisture advection, properties that travel with and are carried by the wind. Another framework is Lagrangian, which is a framework that is constantly moving and travels with the air. When we are looking at motions within the atmosphere, such as rising or sinking air, it is useful to use this framework as a way to see how properties within the rising plume of air are changing. Both frameworks will be used in the coming sections and chapters. ATMO 200 • 119 Air Parcels At this point, we should discuss a naming convention used in atmospheric sciences. Many times it is useful to think about a mass of air instead of individual molecules. We generally call a mass of air an “air parcel”. This is especially useful for distinguishing processes happening within the air, versus processes happening within the environment. An air parcel is often thought of as an amorphous bubble or blob of air, roughly the scale of a party balloon or a hot air balloon that contains uniform properties (temperature, density, pressure) throughout. Air parcels are simplified theoretical constructions used as a way to think about and examine motions and instability in the atmosphere. For example, let’s revisit the important topic of latent heating. We discussed how condensation of water vapor to liquid water is a warming process. This is only clear if we separate the processes happening within a parcel of air and within the rest of the environment. When water vapor condenses within an air parcel, it gives off energy, which acts to warm the environment. We will often refer to air parcels when we want to distinguish changes within a piece of air with respect to the rest of the atmosphere. In reality, as air parcels move through the atmosphere, there will be some mixing between the air parcel and the environment, and heat can be exchanged with the environment or added via radiation. However, with the concept of air parcels, we simplify the situation and imagine that radiative 120 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL effects are small, and that mixing only occurs on the outer edges of the parcel, with a protected inner core. Defining Changes in the Atmosphere In order to study changes in temperature, momentum, and moisture in an air parcel, a Lagrangian framework is always used. With a Lagrangian framework, we can see changes from the parcel’s perspective as it moves, not from a fixed point on the ground. Applying the hydrostatic equation from Chapter 1 to the first law of thermodynamics, we can get the Lagrangian first law of thermodynamics equation for a moving air parcel. ∆q, or heat transfer, can be caused by various processes, outlined in the following figure. The figure shows an air parcel moving both horizontally (through advection) and vertically (through convection), as well as the various processes both inside and outside that are causing heat exchange. The temperature inside the air parcel is conserved unless heat is transferred to or from the environment, or if it loses or gains heat by rising or sinking, which will cause it to expand or contract, respectively. ATMO 200 • 121 The effects of surroundings on air parcel temperature and the corresponding heat exchange (CC BY-NC-SA 4.0). Lapse Rates The atmospheric lapse rate, Γ, denoted by an upper-case gamma, is defined as the change in temperature with altitude, specifically a reduction in temperature with altitude. 122 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL A positive lapse rate indicates that the temperature is decreasing with increasing height, while a negative lapse rate indicates a “temperature inversion” meaning that the temperature is increasing with increasing height. Lapse rates are typically defined for: 1. The environment, Γe 2. A dry air parcel, Γd 3. A saturated air parcel (moist), Γm We can observe the environmental lapse rate by using atmospheric sensors attached to weather balloons. As a weather balloon rises through the atmosphere, it measures temperature and other properties on the way. The environmental lapse rate varies depending on time of day, altitude, latitude, land surface properties, heat fluxes, and air movement. A typical Γe is around 6.5 K km-1 but this will be discussed in later chapters. You will have experienced this decrease in temperature with altitude if you have hiked in the mountains or seen an outdoor thermometer reading on a commercial flight. Dry Adiabatic Lapse Rate In atmospheric science, you will often hear the word “adiabatic”, typically accompanied by the words “cooling”, “warming”, or “lapse rate”. An Adiabatic process just means that there is no heat transfer taking place (∆q = 0) during the ATMO 200 • 123 process. For an air parcel, this means that no thermal energy is entering or leaving the air parcel from the outside. However, internal processes are allowed, such as the ones shown in the figure above (most notably adiabatic expansion and latent heating). An adiabatic lapse rate indicates that air is cooling or warming with altitude without any external heat exchange. An air parcel that contains no liquid water or ice (none of the moisture in the parcel has condensed into liquid, no saturation or latent heat release), will cool at the dry adiabatic lapse rate. Pro Tip: A positive lapse rate means that the air temperature is decreasing with height. The reason that an air parcel expands adiabatically as it rises is due to the fact that the environmental air pressure decreases with height. The air parcel’s pressure will adjust to the lower pressure of its environment, but the parcel must expand in order to do so (in order for the air molecules inside the parcel to exert a smaller force). The parcel uses some of its own internal energy to do the work of expansion, and its temperature decreases as a result. The opposite is true as an air parcel sinks, the environmental pressure rises, and the parcel’s pressure adjusts in order to maintain pressure equilibrium, and the parcel must shrink for its pressure to increase. As it shrinks, work is done on it, and the temperature rises. In later chapters we’ll define the moist or wet adiabatic lapse 124 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL rate (Chapter 4), as well as the environmental lapse rate (Chapter 5) and their significance. Potential Temperature The potential temperature, θ, of a parcel completely ignores the temperature change of the parcel due to it having done work or been worked on (expanding or contracting). As a result, potential temperature is constant for an adiabatic process and θ does not change when ∆q = 0. Potential temperature is proportional to the sensible heat contained in a parcel and can increase or decrease when sensible heat is added or removed through diabatic (non-adiabatic) processes (∆q ≠ 0). Examples of diabatic heating include turbulent mixing, condensation (latent heat), and radiative heating. Potential temperature has units of K or °C, and can be found if you know the air temperature, T, at pressure-level, P, using the following equation where Rd/Cp is a constant equal to 0.28571, and has no units, and P0is a reference pressure, typically 1,000 hPa (100,000 Pa), or the local surface pressure. Introduction to Thermodynamic Diagrams Potential temperature is also very useful in thermodynamic diagrams, which will be briefly introduced here, but covered in more detail in Chapter 5. Thermodynamic diagrams are useful ATMO 200 • 125 in diagnosing the state of the atmosphere and the buoyancy of air parcels by comparing the temperature difference ∆T between the parcel and its environment. Parcels that are warmer than their environment will tend to rise due to lower density, and the change of the parcel’s temperature with height can be anticipated based on the parcel’s moisture content. In the thermodynamic diagrams you will use, dry adiabat lines will be plotted to show the dry adiabatic lapse rate, as parcels will cool at this rate until condensation occurs within the parcel. Dry adiabats are labelled with θ because θ is constant along these lines. A simple example is provided here. 126 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Sample thermodynamic diagram (CC BY-NC-SA 4.0). Horizontal lines show isobars, lines of constant pressure; vertical lines show isotherms, lines of constant temperature; and orange lines show dry adiabats, lines of constant potential temperature. Heat Budget at Earth’s Surface Before moving on from thermodynamics, let’s add another layer of complication to our understanding of Earth’s surface heat budget. In Chapter 2 we discussed how the Earth’s heat budget could be defined by the incoming shortwave radiation (K↓), reflected shortwave radiation (K↑), longwave radiation emitted by the Earth (I↑), and the downwelling longwave ATMO 200 • 127 radiation emitted from the atmosphere (I↓) received by the Earth’s surface. Earth’s surface is considered to be infinitesimally thin with no volume, and no heat can be stored, so the sum of all incoming and outgoing heat fluxes at the surface must balance. The net heat flux at the surface must be zero. In addition to the incoming and outgoing shortwave and longwave radiation, there are three other fluxes that must be considered. But first, let’s discuss what is meant by a “flux” of heat. Heat Flux Let’s say you have a cube of air, somewhere fixed relative to the ground. From an Eulerian framework (fixed-location), pressure changes can be neglected in the First Law equation, as they will be small and slow. Leftover, you have an equation that states that the heat you transfer to the cube (per unit mass) causes the temperature change: 128 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL If you divide this by a time interval ∆t (note: lower-case t is used for time, T is temperature), gives an equation for temperature change with time: The temperature of the air cube could be increased if there were a heat transfer into it. Heat flux is the rate of heat transfer through a surface over time, as illustrated in the below figure. The units of heat flux can be given as J·m-2·s-1, or W·m-2, because W = J·s-1. It is heat moving through an area over time. This figure represents a flux of some material or energy through a surface or area (CC BY-SA 3.0). Temperature could be increased by heat flux into the cube of air, and could also be decreased by heat flux out of the cube. For example, if there is a net heat flux into a cube of air there ATMO 200 • 129 will be a net heating effect because heat will be transferred into the cube more quickly than it will leave the cube. Earth’s Surface Budget Fluxes are defined as positive for heat moving upward. In addition to the net radiation (F*) from shortwave and longwave radiation, the fluxes include: F* = the net radiation between the surface and atmosphere, defined above; FH = effective surface turbulent heat flux (sensible heat flux, SH); FE = effective surface latent heat flux, caused by evaporation or condensation (latent heat flux, LH); and FG = molecular heat conduction to/from deeper below the surface, basically heat being conducted from nearby molecules. All of these fluxes have to balance. Note: In the class we will likely use SH or SHF to represent the sensible heat flux, and LH or LHF to represent the latent heat flux. Remember, SHF is a dry heat flux from convection and LHF is heat transfer from moisture. Over the course of a day, the relative contributions from the different terms in the surface heat budget vary. The below figure shows the four terms as they vary over a moist surface during one average day. Notice the yellow line first. There is 130 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL negative F* through most of the day as the surface gains heat from the excess shortwave radiation. At night, F* is positive as the surface radiates infrared radiation upward away from the surface. This is similar to FG, where heat is transferred downward into the ground during the day and upward at night. However FH and FE have opposite signs from F* and FG. The surface sensible heat flux, FE and surface latent heat flux, FH are positive during the day as convection and evaporation draws heat upward away from the surface. This figure shows the surface heat balance throughout the day over a moist surface (CC BY-NC-SA 4.0). Now let’s look at how the fluxes vary instantaneously over a moist (a, b) or dry (c, d) surface during the day (a, c) and night (b, d). The size of each arrow corresponds to the strength of each type of flux. ATMO 200 • 131 This diagram is a representation of Earth’s surface fluxes with different 132 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL sized arrows showing the magnitude of each under different conditions (CC BY-NC-SA 4.0). In the above image, note the difference between (a) and (c). Both have a large incoming radiation F*, but the moist surface (a) has a larger latent heat flux FE as compared to the dry desert in (c) with a larger sensible heat flux FH. This shows that heat is transferred from the ground to the atmosphere through evaporation when the surface is moist, but through convection when the surface is dry. The Bowen ratio helps to distinguish various types of surfaces. The Bowen ratio is defined as the ratio between the sensible heat flux and the latent heat flux. Moist surfaces have a small Bowen ratio because latent heating dominates over sensible heating while dry surfaces have a large Bowen ratio because sensible heating dominates over latent heating. What other surface heat flux changes do you notice with day or night? How does energy partitioning change depending on the available moisture? Remember our learning goals for this chapter: 1. Define and describe four methods of energy transfer 2. Describe the change in energy associated with ATMO 200 • 133 changes in water state 3. Define and apply the first law of thermodynamics 4. Differentiate Eulerian and Lagrangian frameworks 5. Describe the importance of the dry adiabatic lapse rate, and recall what sets its constant value in the atmosphere 6. Compute potential temperature and apply the conserved variable approach 7. Draw a diagram of surface heat fluxes and Earth’s radiation budget 8. Compute the Bowen ratio, and define latent and sensible heat flux Do you feel comfortable with all of the goals? Additional Information Temperature has been historically measured by a thermometer like the one below. A bulb of expandable fluid grows or shrinks depending on the temperature, indicating the temperature by its top. Thermometers of this type are robust and cheap, but not easily automated. Liquid in glass thermometer (Public Domain). 134 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Another type of early thermometer records the minimum and maximum with mercury (below). A marker is pushed upward (for the maximum) or downward (for the minimum). Minimum and maximum mercury thermometer (CC BY-SA 3.0). Today, most thermometers are electrical. They use components that are temperature sensitive, like a temperature sensitive resistor or capacitor where the electrical current changes depending on temperature. Based on the electrical reading from the instrument, temperature can be automatically recorded. ATMO 200 • 135 Electrical thermometers are used in systems such as this Elko Automated Surface Observing System (ASOS) (CC BY-SA 3.0). This type of thermometer is used in radiosondes, which are launched on weather balloons for measuring temperature throughout the entire atmospheric column. We can observe insitu as high as 50 km, halfway through the stratosphere with a radiosonde balloon. 136 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Radiosondes contain thermistor temperature sensors (CC BY-SA 3.0). Thermometers need to be correctly sheltered so that solar radiation does not affect the temperature reading. A shelter is typically placed at least 1 meter above the ground and covered in a white housing that blocks the sun but allows air to flow through like the one in the image. ATMO 200 • 137 These meteorological shelters protect the instruments inside while still allowing a fairly accurate collection of data (CC BY 3.0). A temperature reading simply gives the temperature of the air, but wind and humidity can affect the way the atmosphere feels to the human body. The below image shows a wind chill graph where the wind speed and the temperature gives an additional measure of temperature called the wind chill. When the air temperature is cold and the wind is high, the temperature feels even colder and can give a person standing outdoors frostbite within minutes (see the purple area below). 138 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Wind chill temperatures for corresponding dry bulb temperatures and wind speed (Public Domain). On the other hand when the air is humid, it feels hotter. This is because when the air contains more water vapor and surfaces (like your skin) cannot evaporate it efficiently. Unable to get rid of heat through the latent heat flux (LHF), the surface heats up. This is called the heat index. Notice that a temperature of 84°F at 90% relative humidity has a heat index of 98°F. ATMO 200 • 139 The heat index measures how hot it feels compared to the actual air temperature by taking into account the humidity (Public Domain). You have experienced at least one of these issues (wind chill or heat index) in your lifetime. Chapter 3: Questions to Consider 1. Read the following scenarios and chose the type of energy transfer described. An interactive or media element has been excluded from this version of the text. You can view it online here: http://pressbooks-dev.oer.hawaii.edu/ atmo/?p=93 140 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL 2. Fill in the blanks to describe what happens when an air parcel rises. An interactive or media element has been excluded from this version of the text. You can view it online here: http://pressbooks-dev.oer.hawaii.edu/ atmo/?p=93 3. Earlier in the chapter, a brick being held up was described as having potential energy. If the brick weighs 3.5 kg and is being held 1.2 m off the ground, how much potential energy does it have? Remember that acceleration from gravity is 9.8 m⋅s-2. 4. Mauna Kea, an inactive volcano on the island of Hawai’i, has an elevation of 13,803 ft at the summit. If a weather balloon measures the environmental lapse rate to be 6.5 K⋅km-1, how much cooler is the summit than the rest of the island at sea level? 5. In the winter, it often snows on top of Mauna Kea. Explain how that’s possible despite the mountain’s tropical location using your result from the previous question. Selected Practice Question Answers: ATMO 200 • 141 An interactive or media element has been excluded from this version of the text. You can view it online here: http://pressbooks-dev.oer.hawaii.edu/atmo/?p=93 Chapter 4: Water Vapor ALISON NUGENT AND SHINTARO RUSSELL Learning Objectives By the end of this chapter, you should be able to: 1. Compute American Meteorological Society, cited 2019: Saturation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Saturation.]" class="glossaryLink">saturation American Meteorological Society, cited 2019: Vapor pressure. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Vapor_pressure.]" 142 ATMO 200 • 143 class="glossaryLink">vapor pressure using the Clausius-Clapeyron equation; 2. Convert between humidity variables. Differentiate between relative humidity, specific humidity, absolute humidity, wet-bulb temperature, mixing ratio, and dew point; 3. Describe the conditions for American Meteorological Society, cited 2019: Saturation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Saturation.]" class="glossaryLink">saturation to occur; 4. Apply the American Meteorological Society, cited 2019: Moist adiabatic lapse rate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Moist-adiabatic_lapse_rate.]" class="glossaryLink">moist adiabatic lapse rate; 5. Use the principles of phase change and latent heating to describe why the American Meteorological Society, cited 2019: Moist adiabatic lapse rate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Moist-adiabatic_lapse_rate.]" 144 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL class="glossaryLink">moist adiabatic lapse rate is less than the American Meteorological Society, cited 2019: Dryadiabatic lapse rate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Dryadiabatic_lapse_rate.]" class="glossaryLink">dry adiabatic lapse rate. Introduction Water can exist as a solid, liquid, or gas at typical conditions found on Earth. As we learned, the process of liquid water becoming water vapor is called evaporation and this process absorbs or requires American Meteorological Society, cited 2019: Energy. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Energy.]" class="glossaryLink">energy. The opposite process is called condensation, where water vapor becomes liquid water, releasing American Meteorological Society, cited 2019: Energy. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Energy.]" class="glossaryLink">energy. Condensation is especially important in atmospheric science because this is the process that allows clouds to form. ATMO 200 • 145 Phase changes of water from gas (water vapor) to liquid (water) to solid (ice) with the names for the processes also labeled. (CC BY 2.0). Clouds are composed of millions and billions of tiny liquid water droplets. How do they form? Why are they there? Water droplets condensed on a glass surface (CC BY 2.0). Before we can understand clouds in the atmosphere, we need 146 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL to explore concepts like how humidity is defined and what American Meteorological Society, cited 2019: Saturation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Saturation.]" class="glossaryLink">saturation means. In general, humidity is the amount of water vapor in the air. You’ve likely heard of relative humidity and dew point temperature, but what do these quantities mean physically? Saturation Imagine a closed jar filled halfway with water. At the initial time, more water molecules evaporate from the water surface than the number that return. However, after some time, the number of molecules evaporating from the surface will be equal to the number of molecules condensing back into the water surface. When condensation and evaporation are equal, this is called American Meteorological Society, cited 2019: Saturation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Saturation.]" class="glossaryLink">saturation. American Meteorological Society, cited 2019: Saturation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Saturation.]" class="glossaryLink">Saturation occurs when air contains the maximum amount of water vapor possible for its given temperature. That is why condensation equals evaporation. If ATMO 200 • 147 evaporation occurs, the air cannot contain more water vapor, so some must condense. Now let’s get quantitative. Vapor pressure at saturation Every gas in the atmosphere exerts pressure, for example, American Meteorological Society, cited 2019: Vapor pressure. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Vapor_pressure.]" class="glossaryLink">vapor pressure makes up a fraction of the total atmospheric pressure. In the following equation, all of the gases in Earth’s atmosphere contribute to the total atmospheric pressure Patmosphere. Specifically for water vapor, the more water vapor that is added to the atmosphere, the higher the American Meteorological Society, cited 2019: Vapor pressure. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Vapor_pressure.]" class="glossaryLink">vapor pressure PH2O. The units for American Meteorological Society, cited 2019: Vapor pressure. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Vapor_pressure.]" class="glossaryLink">vapor pressure are the same as pressure and can be in Pascals, hectoPascals, or kiloPascals. Because we are staying consistent with Roland Stull’s Practical Meteorology textbook, we will use kiloPascals (kPa) throughout this chapter. The amount of water vapor that the atmosphere can contain depends on temperature. Lower temperature air cannot contain 148 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL as much water vapor as higher temperature air. If we think of this quantitatively in terms of pressure, American Meteorological Society, cited 2019: Saturation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Saturation.]" class="glossaryLink">saturation American Meteorological Society, cited 2019: Vapor pressure. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Vapor_pressure.]" class="glossaryLink">vapor pressure refers to the pressure exerted by the movement of water vapor molecules exerted over a surface of liquid water. When the partial pressure exerted by water vapor is equal to the American Meteorological Society, cited 2019: Saturation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Saturation.]" class="glossaryLink">saturation American Meteorological Society, cited 2019: Vapor pressure. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Vapor_pressure.]" class="glossaryLink">vapor pressure, the air is saturated. The Clausius-Clapeyron equation gives the approximate relationship between American Meteorological Society, cited 2019: Saturation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Saturation.]" class="glossaryLink">saturation American Meteorological Society, cited 2019: Vapor pressure. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Vapor_pressure.]" class="glossaryLink">vapor pressure (es) and temperature in the atmosphere ATMO 200 • 149 where the water-vapor gas constant Rv is 461 J·K–1·kg–1, T0 is 273.15 K, e0 is 0.6113 kPa, and Lv is the American Meteorological Society, cited 2019: Latent heat. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Latent_heat.]" class="glossaryLink">latent heat of vaporization, 2.5×106 J·kg–1. This results in Lv/Rv being equal to 5423 K. In this equation, units for temperature must be in Kelvin. Note that in the equation above, exp[x] implies the exponential function ex, but it is written on one line for visual purposes. 150 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL A graph of the saturation vapor pressure as a function of temperature showing the exponential relationship between the two from the Clausius-Clapeyron equation (Modified from CC BY-SA 4.0). The image shows the relationship between temperature and American Meteorological Society, cited 2019: Saturation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Saturation.]" class="glossaryLink">saturation American Meteorological Society, cited 2019: Vapor pressure. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Vapor_pressure.]" class="glossaryLink">vapor pressure based on the Clausius-Clapeyron equation. Lower temperatures are ATMO 200 • 151 saturated with respect to water vapor at lower vapor pressures, while higher temperatures need higher vapor pressures to be saturated. Temperature is the primary factor determining water vapor American Meteorological Society, cited 2019: Saturation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Saturation.]" class="glossaryLink">saturation. In the graph of American Meteorological Society, cited 2019: Saturation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Saturation.]" class="glossaryLink">saturation American Meteorological Society, cited 2019: Vapor pressure. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Vapor_pressure.]" class="glossaryLink">vapor pressure vs. temperature notice the American Meteorological Society, cited 2019: Saturation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Saturation.]" class="glossaryLink">saturation American Meteorological Society, cited 2019: Vapor pressure. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Vapor_pressure.]" class="glossaryLink">vapor pressure value at the boiling temperature, 100 °C. The American Meteorological Society, cited 2019: Saturation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Saturation.]" class="glossaryLink">saturation American Meteorological Society, cited 2019: Vapor pressure. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Vapor_pressure.]" 152 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL class="glossaryLink">vapor pressure value es(100 °C)=101.325 kPa, is the same value as the atmospheric surface pressure. Water boils at the Earth’s surface when the American Meteorological Society, cited 2019: Saturation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Saturation.]" class="glossaryLink">saturation American Meteorological Society, cited 2019: Vapor pressure. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Vapor_pressure.]" class="glossaryLink">vapor pressure is equal to the atmospheric pressure, which is why water boils at 100 °C. Will water boil at the same temperature at the top of Mount Everest? Humidity Variables American Meteorological Society, cited 2019: Vapor pressure. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Vapor_pressure.]" class="glossaryLink">Vapor pressure is one way of defining humidity, but there are many others. Here is a noncomprehensive list of humidity variables and their typical units. e = American Meteorological Society, cited 2019: Vapor pressure. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Vapor_pressure.]" class="glossaryLink">vapor pressure (kPa) r = mixing ratio (g·kg–1) q = specific humidity (g·kg–1) ATMO 200 • 153 ρv = absolute humidity (g·m-3) RH = relative humidity (%) zLCL = American Meteorological Society, cited 2019: Lifting Condensation Level. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Lifting_condensation_level.]" class="glossaryLink">lifting condensation level (km) Td = dew point (temperature) (°C) Tw = wet-bulb temperature (°C) American Meteorological Society, cited 2019: Vapor pressure. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Vapor_pressure.]" class="glossaryLink">Vapor Pressure We’ve already discussed American Meteorological Society, cited 2019: Saturation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Saturation.]" class="glossaryLink">saturation American Meteorological Society, cited 2019: Vapor pressure. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Vapor_pressure.]" class="glossaryLink">vapor pressure, es, but you can also compute American Meteorological Society, cited 2019: Vapor pressure. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Vapor_pressure.]" class="glossaryLink">vapor pressure, e. However, because Td is often unknown, the easiest way is usually through relative humidity. 154 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Again, e0 is 0.6113 kPa, Lv is 2.5×106 J·kg–1, Rv is 461 J·K–1·kg–1, T0 is 273.15 K, and Td is dew point temperature, which will be defined later. Mixing Ratio Mixing ratio, r, is the ratio of the mass of water vapor to the mass of dry air. It is typically expressed as grams of water vapor per kilogram of air (g·kg–1). Pressure (P) should be in the same units as American Meteorological Society, cited 2019: Vapor pressure. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Vapor_pressure.]" class="glossaryLink">vapor pressure (e). The constant ε is 0.622, is the ratio between the gas constant for dry air and the gas constant for water vapor. American Meteorological Society, cited 2019: Saturation. Glossary of Meteorology. [Available online at ATMO 200 • 155 http://glossary.ametsoc.org/wiki/Saturation.]" class="glossaryLink">Saturation mixing ratio, rs, is computed the same way as the mixing ratio but with American Meteorological Society, cited 2019: Saturation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Saturation.]" class="glossaryLink">saturation American Meteorological Society, cited 2019: Vapor pressure. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Vapor_pressure.]" class="glossaryLink">vapor pressure, es, instead of e. When calculating mixing ratio, the pressure units on the top of the fraction will cancel with the pressure units on the bottom of the fraction. While it appears unit-less, its technically not based on its definition of mass of water vapor as compared to mass of dry air. See the Pro Tip below for more information. Pro Tip: Many units of moisture are given in g·kg-1 or kg·kg-1 so technically the units could cancel and it could be unitless! Don’t let this fool you. It is important to remember that the mass in the numerator and denominator are different. In the case of mixing ratio, the value is given in mass of water vapor proportional to the mass of dry air. Specific Humidity 156 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Specific humidity, q, is the ratio of the mass of water vapor to the total mass of air (dry air and water vapor combined). It is expressed as grams of water vapor per kilogram of air (g·kg–1). Again, American Meteorological Society, cited 2019: Saturation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Saturation.]" class="glossaryLink">saturation specific humidity, qs, is computed with es instead of e. Absolute Humidity Absolute humidity, ρv, is the ratio of the mass of water vapor to the volume of air. It is expressed as grams of water vapor in a cubic meter of air (g·m-3). It is effectively water vapor density. Again, American Meteorological Society, cited 2019: ATMO 200 • 157 Saturation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Saturation.]" class="glossaryLink">saturation absolute humidity, ρvs, uses es instead of e. Relative Humidity Relative humidity, RH, is the ratio of the amount of water vapor present in the air to the maximum amount of water vapor needed for American Meteorological Society, cited 2019: Saturation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Saturation.]" class="glossaryLink">saturation at a certain pressure and temperature. It is typically multiplied by 100 and expressed as a percent. Relative humidity shows how close the air is to being saturated, not how much water vapor the air contains. For this reason, RH is not a good indicator of the quantitative amount of water vapor in the air. It is only a relative measure that is highly dependent on the air temperature. Relative humidity greater than 100% is called supersaturation. or 158 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Imagine two parcels of air with the same volume, pressure, and relative humidity. Parcel 1 has an air temperature of 20 °C while Parcel 2 has an air temperature of 30 °C. Which parcel contains more water vapor? Dew Point Temperature The dew point temperature, Td, is the temperature to which the air must be cooled to reach American Meteorological Society, cited 2019: Saturation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Saturation.]" class="glossaryLink">saturation, without changing the moisture or air pressure. It measures the actual moisture content of a parcel of air. American Meteorological Society, cited 2019: Saturation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Saturation.]" class="glossaryLink">Saturation occurs when the dew point temperature equals the air temperature. When the dew point temperature is lower than the freezing point of water, it is also called the frost point. Wet-Bulb Temperature ATMO 200 • 159 Wet-bulb temperature, Tw, is the lowest temperature that can be achieved if water evaporates within the air. When the relative humidity is 100%, the wet-bulb temperature is equal to the air temperature because there is no evaporation. The wet-bulb temperature is difficult to calculate but easy to measure. To measure the wet-bulb temperature, all you need is a thermometer with a wet cloth wrapped around the bulb. Typically this thermometer is attached to an apparatus called a sling psychrometer to make it easy to spin around in the air to create lots of airflow over the wet cloth on the thermometer. The evaporation from the wet cloth cools the temperature measured, hence the wet-bulb temperature is always lower than the air temperature (or dry-bulb temperature) when relative humidity is less than 100%. You can also estimate the wet bulb temperature using lines on a graph. Normand’s Rule is used to calculate the wet-bulb temperature from the air temperature and the dew point temperature. The wet-bulb temperature is always between the dew point and the dry-bulb temperature (Td≤ Tw ≤ T). This can be implemented on thermodynamic diagrams, such as the Skew-T log P, which is discussed in more detail in the next chapter. Take note of this description for later. To find the wet-bulb temperature on a Skew-T log P diagram, follow the American Meteorological Society, cited 2019: Dry-adiabatic lapse rate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Dry-adiabatic_lapse_rate.]" class="glossaryLink">dry adiabatic lapse rate line upward from 160 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL the air temperature. Next, use the dew point temperature and follow an isohume (line of constant relative humidity) upward. The point where these two lines meet is called the American Meteorological Society, cited 2019: Lifting Condensation Level. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Lifting_condensation_level.]" class="glossaryLink">lifting condensation level (LCL). From the meeting point, follow the moist (saturated) adiabatic American Meteorological Society, cited 2019: Lapse rate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Lapse_rate.]" class="glossaryLink">lapse rate back down to obtain the wetbulb temperature value. This is probably confusing at this point because we have not discussed the LCL or the American Meteorological Society, cited 2019: Moist adiabatic lapse rate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Moist-adiabatic_lapse_rate.]" class="glossaryLink">moist adiabatic lapse rate, but don’t worry, we’ll repeat this logic again in the next chapter to make sure this is clear. Why Do We Care So Much About Moisture? You may be wondering at this point why we care so much about moisture and why we need so many definitions of (almost) the same thing. The reason is that moisture is an extremely important atmospheric property. Water can exist in three phases (vapor, liquid, ice) within the atmosphere at typical pressures and temperatures. It has an especially large impact on the human experience—think about a humid day, foggy conditions, rain, ATMO 200 • 161 snow, or even hail! Less obvious is its impact on atmospheric American Meteorological Society, cited 2019: Stability. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Stability.]" class="glossaryLink">stability, which drives the aforementioned conditions. For now, let’s think about the process of water vapor condensing to form liquid water. There is one final definition of humidity that will be helpful. American Meteorological Society, cited 2019: Lifting Condensation Level. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Lifting_condensation_level.]" class="glossaryLink">Lifting Condensation Level The American Meteorological Society, cited 2019: Lifting Condensation Level. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Lifting_condensation_level.]" class="glossaryLink">lifting condensation level, zLCL, is the altitude where clouds form. At the LCL, temperature equals the dew point temperature, resulting in American Meteorological Society, cited 2019: Saturation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Saturation.]" class="glossaryLink">saturation and therefore condensation. The height (z) of the LCL is 162 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL where a is 0.125 km °C-1. We can also define the temperature at the LCL as follows. Moist Adiabatic Lapse Rate In the last chapter, we discussed how temperature changes as a dry parcel of air is lifted in the atmosphere. You will recall that as an American Meteorological Society, cited 2019: Air parcel. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Air_parcel.]" class="glossaryLink">air parcel is lifted, the temperature drops by 9.8 K every km due to the American Meteorological Society, cited 2019: Work. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Work.]" class="glossaryLink">work the American Meteorological Society, cited 2019: Air parcel. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Air_parcel.]" class="glossaryLink">air parcel must do to the environment as it expands. Let’s add moisture to the discussion and see how this changes things. If the American Meteorological Society, cited 2019: Air parcel. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Air_parcel.]" class="glossaryLink">air parcel reaches American Meteorological Society, cited 2019: Saturation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Saturation.]" class="glossaryLink">saturation (100% relative humidity) and water vapor condenses to liquid water ATMO 200 • 163 within the parcel, American Meteorological Society, cited 2019: Latent heat. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Latent_heat.]" class="glossaryLink">latent heat will be released. In the case of a rising American Meteorological Society, cited 2019: Air parcel. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Air_parcel.]" class="glossaryLink">air parcel that is cooling from adiabatic expansion, this added heat from condensation counterbalances some of the cooling. Hence, the American Meteorological Society, cited 2019: Air parcel. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Air_parcel.]" class="glossaryLink">air parcel will no longer cool at the American Meteorological Society, cited 2019: Dryadiabatic lapse rate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Dry-adiabatic_lapse_rate.]" class="glossaryLink">dry adiabatic lapse rate but at the smaller American Meteorological Society, cited 2019: Moist adiabatic lapse rate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Moist-adiabatic_lapse_rate.]" class="glossaryLink">moist adiabatic lapse rate (Γm). Unlike the dry adiabatic lapse, the American Meteorological Society, cited 2019: Moist adiabatic lapse rate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Moistadiabatic_lapse_rate.]" class="glossaryLink">moist adiabatic lapse rate is not constant and varies based on the temperature and moisture of the American Meteorological Society, cited 2019: Air parcel. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Air_parcel.]" class="glossaryLink">air parcel. 164 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL We will approximate the American Meteorological Society, cited 2019: Moist adiabatic lapse rate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Moistadiabatic_lapse_rate.]" class="glossaryLink">moist adiabatic lapse rate with the following value. The difference between the American Meteorological Society, cited 2019: Dry-adiabatic lapse rate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Dryadiabatic_lapse_rate.]" class="glossaryLink">dry adiabatic lapse rate (Γm) and the American Meteorological Society, cited 2019: Moist adiabatic lapse rate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Moistadiabatic_lapse_rate.]" class="glossaryLink">moist adiabatic lapse rate (Γm) is significant and has profound influence on atmospheric American Meteorological Society, cited 2019: Stability. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Stability.]" class="glossaryLink">stability, the topic of the following chapter. Chapter 4: Questions to Consider 1. Explain the conditions needed for American Meteorological Society, cited ATMO 200 • 165 2019: Saturation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Saturation.]" class="glossaryLink">saturation to occur. 2. What is the American Meteorological Society, cited 2019: Saturation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Saturation.]" class="glossaryLink">saturation American Meteorological Society, cited 2019: Vapor pressure. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Vapor_pressure.]" class="glossaryLink">vapor pressure of air at 26°C? 3. Explain the difference between specific humidity and relative humidity. 4. If the temperature is 10°C and the pressure is 700 hPa, calculate the American Meteorological Society, cited 2019: Saturation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Saturation.]" class="glossaryLink">saturation specific humidity and the American 166 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Meteorological Society, cited 2019: Saturation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Saturation.]" class="glossaryLink">saturation mixing ratio. 5. Explain why the American Meteorological Society, cited 2019: Moist adiabatic lapse rate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Moistadiabatic_lapse_rate.]" class="glossaryLink">moist adiabatic lapse rate is less than the American Meteorological Society, cited 2019: Dryadiabatic lapse rate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Dryadiabatic_lapse_rate.]" class="glossaryLink">dry adiabatic lapse rate. Selected Practice Question Answers: An interactive or media element has been excluded from this version of the text. You can view it online here: http://pressbooks-dev.oer.hawaii.edu/ atmo/?p=107 Chapter 5: Atmospheric Stability ALISON NUGENT AND DAVID DECOU Learning Objectives By the end of this chapter, you should be able to: 1. Interpret American Meteorological Society, cited 2019: Stability. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Stability.]" class="glossaryLink">stability based on the dry and moist adiabatic lapse rates 2. Understand how American Meteorological Society, cited 2019: Stability. Glossary of Meteorology. 167 168 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL [Available online at http://glossary.ametsoc.org/wiki/ Stability.]" class="glossaryLink">stability relates to vertical motion in the atmosphere 3. Describe and differentiate between the many lines on a Skew-T log-P diagram 4. Find the LCL, regions of CAPE and CIN, and the tropopause from a Skew-T log-P diagram A cumulonimbus cloud rises and expands as a product of instability within the atmosphere (Public Domain). ATMO 200 • 169 Introduction When you think of the word “stable,” you typically think of an object that is unlikely to change or something that is balanced. The opposite is true with something that is “unstable”. An unstable object is likely to fall or change position with time. The same is true with clouds. When you see a fluffy cumulus cloud, you might notice them changing shape from one minute to the next. Such clouds are in a constant state of change, and thus represent the atmosphere in an unstable state. A perfect cumulus cloud just west of Magic Island (photo by Sarah Williamson). American Meteorological Society, cited 2020: Instability. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Instability.]" class="glossaryLink">Instability in the atmosphere is a concept 170 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL that is intimately connected with thunderstorms, cumulus development, and vertical motion. In order to visualize the concept of American Meteorological Society, cited 2019: Stability. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Stability.]" class="glossaryLink">stability, you might imagine a boulder sitting at the bottom of a canyon surrounded by steep hills, as depicted in the figure below by the blue circle. If you were strong enough to push the boulder from its initial position partway up one of the hills, it would roll back to the bottom once you let go. Despite exerting a force on the boulder and causing an initial displacement, it would return to its initial position, and the net displacement would be zero. To visualize the concept of American Meteorological Society, cited 2020: Instability. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Instability.]" class="glossaryLink">instability, imagine the same boulder at the top of a hill (red circle below). If you were able to push the boulder just a little bit in any direction, it would begin to roll downward and accelerate away from its initial position. However, if the same boulder were to be placed on flat ground (green circle below) and you were to push it, it would change position, but remain in its new position. This is an example of American Meteorological Society, cited 2019: Neutral stability. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Neutral_stability.]" class="glossaryLink">neutral stability. Each of these concepts can be applied to motions of air parcels in the atmosphere. The topic of American Meteorological Society, ATMO 200 • 171 cited 2019: Stability. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Stability.]" class="glossaryLink">stability in atmospheric science is important because the formation of clouds is closely related to American Meteorological Society, cited 2019: Stability. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Stability.]" class="glossaryLink">stability or American Meteorological Society, cited 2020: Instability. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Instability.]" class="glossaryLink">instability in the atmosphere. In this chapter we will connect these concepts to the buoyancy of air parcels, and learn to use thermodynamic diagrams to visualize movement. 172 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Examples of stability and instability in relation to air and parcel temperatures (created by Britt Seifert). Atmospheric Stability & Lapse Rates American Meteorological Society, cited 2019: Adiabatic ATMO 200 • 173 processes. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Adiabatic_processes.]" class="glossaryLink">Adiabatic Processes When discussing American Meteorological Society, cited 2019: Stability. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Stability.]" class="glossaryLink">stability in atmospheric sciences, we typically think about air parcels, or imaginary blobs of air that can expand and contract freely, but do not mix with the air around them or break apart. The key piece of information is that movement of air parcels in the atmosphere can be estimated as an adiabatic process. American Meteorological Society, cited 2019: Adiabatic processes. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Adiabatic_processes.]" class="glossaryLink">Adiabatic processes do not exchange heat and they are reversible. Imagine you have a parcel of air at the Earth’s surface. The American Meteorological Society, cited 2019: Air parcel. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Air_parcel.]" class="glossaryLink">air parcel has the same temperature and pressure as the surrounding air, which we will call the environment. If you were to lift the American Meteorological Society, cited 2019: Air parcel. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Air_parcel.]" class="glossaryLink">air parcel, it would find itself in a place where the surrounding environmental air pressure is lower, because we know that pressure decreases with 174 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL height. Because the environmental air pressure outside the parcel is lower than the pressure inside the parcel, the air molecules inside the parcel will effectively push outward on the walls of the parcel and expand adiabatically. The air molecules inside the parcel must use some of their own American Meteorological Society, cited 2019: Energy. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Energy.]" class="glossaryLink">energy in order to expand the American Meteorological Society, cited 2019: Air parcel. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Air_parcel.]" class="glossaryLink">air parcel’s walls, so the temperature inside the parcel decreases as the internal American Meteorological Society, cited 2019: Energy. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Energy.]" class="glossaryLink">energy decreases. To summarize, rising air parcels expand and cool adiabatically without exchanging heat with the environment. Now imagine that you move the same American Meteorological Society, cited 2019: Air parcel. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Air_parcel.]" class="glossaryLink">air parcel back to Earth’s surface. The American Meteorological Society, cited 2019: Air parcel. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Air_parcel.]" class="glossaryLink">air parcel is moving into an environment with higher air pressure. The higher environmental pressure will push inward on the parcel walls, causing them to compress, and raise the inside temperature. ATMO 200 • 175 The process is adiabatic, so again, no heat is exchanged with the environment. However, temperature changes in the American Meteorological Society, cited 2019: Air parcel. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Air_parcel.]" class="glossaryLink">air parcel can still occur, but it is not due to mixing, it is due to changes in the internal American Meteorological Society, cited 2019: Energy. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Energy.]" class="glossaryLink">energy of the American Meteorological Society, cited 2019: Air parcel. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Air_parcel.]" class="glossaryLink">air parcel. American Meteorological Society, cited 2019: Dry-adiabatic lapse rate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Dryadiabatic_lapse_rate.]" class="glossaryLink">Dry Adiabatic Lapse Rate As long as an American Meteorological Society, cited 2019: Air parcel. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Air_parcel.]" class="glossaryLink">air parcel is unsaturated (relative humidity < 100%), the rate at which its temperature will change will be constant. A decrease in temperature with height is called a American Meteorological Society, cited 2019: Lapse rate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Lapse_rate.]" class="glossaryLink">lapse rate and while the temperature 176 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL decreases with altitude, it is defined as positive because it is a lapse rate. Recall from chapter 3 that the American Meteorological Society, cited 2019: Dry-adiabatic lapse rate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Dryadiabatic_lapse_rate.]" class="glossaryLink">dry adiabatic lapse rate, Γd, is equal to 9.8 K·km-1 = 9.8 °C·km-1. This drop in temperature is due to adiabatic expansion and a decrease in internal American Meteorological Society, cited 2019: Energy. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Energy.]" class="glossaryLink">energy. Air rises, expands, and cools at the dry adiabatic lapse rate, approximated as a 10°C decrease per km (created by Britt Seifert). ATMO 200 • 177 Let’s get back to the topic of atmospheric American Meteorological Society, cited 2019: Stability. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Stability.]" class="glossaryLink">stability. American Meteorological Society, cited 2019: Stability. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Stability.]" class="glossaryLink">Stability in the atmosphere refers to a condition of equilibrium. As discussed with the example of the boulder on a hill or valley, some initial movement resulted in either more (unstable), less (stable), or no change (neutral). Given some initial change in the elevation of an American Meteorological Society, cited 2019: Air parcel. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Air_parcel.]" class="glossaryLink">air parcel, if the air is in stable equilibrium, the parcel will tend to return back to its original position after it is forced to rise or sink. In an unstable equilibrium, an American Meteorological Society, cited 2019: Air parcel. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Air_parcel.]" class="glossaryLink">air parcel will accelerate away from its initial position after being pushed. The motion could be upward or downward, but generally unstable atmospheres favors vertical motions. Finally, in a neutral equilibrium, some initial change in the elevation of an American Meteorological Society, cited 2019: Air parcel. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Air_parcel.]" 178 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL class="glossaryLink">air parcel will not result in any additional movement. Determining American Meteorological Society, cited 2019: Stability. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Stability.]" class="glossaryLink">Stability How do you know if an American Meteorological Society, cited 2019: Air parcel. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Air_parcel.]" class="glossaryLink">air parcel will be stable after some initial displacement? American Meteorological Society, cited 2019: Stability. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Stability.]" class="glossaryLink">Stability is determined by comparing the temperature of a rising or sinking American Meteorological Society, cited 2019: Air parcel. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Air_parcel.]" class="glossaryLink">air parcel to the environmental air temperature. Imagine the following: at some initial time, an American Meteorological Society, cited 2019: Air parcel. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Air_parcel.]" class="glossaryLink">air parcel has the same temperature and pressure as its environment. If you lift the American Meteorological Society, cited 2019: Air parcel. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Air_parcel.]" class="glossaryLink">air parcel some distance, its temperature drops by 9.8 K·km-1, which is the ATMO 200 • 179 American Meteorological Society, cited 2019: Dry-adiabatic lapse rate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Dry-adiabatic_lapse_rate.]" class="glossaryLink">dry adiabatic lapse rate. If the American Meteorological Society, cited 2019: Air parcel. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Air_parcel.]" class="glossaryLink">air parcel is colder than the environment in its new position, it will have higher density and tend to sink back to its original position. In this case, the air is stable because vertical motion is resisted. If the rising air is warmer and less dense than the surrounding air, it will continue to rise until it reaches some new equilibrium where its temperature matches the environmental temperature. In this case, because an initial change is amplified, the American Meteorological Society, cited 2019: Air parcel. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Air_parcel.]" class="glossaryLink">air parcel is unstable. In order to figure out if the American Meteorological Society, cited 2019: Air parcel. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Air_parcel.]" class="glossaryLink">air parcel is unstable or not we must know the temperature of both the rising air and the environment at different altitudes. One way this is done in practice is with a American Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Weather.]" class="glossaryLink">weather balloon. We can get a vertical profile of the environmental American Meteorological Society, cited 2019: Lapse rate. Glossary of 180 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Lapse_rate.]" class="glossaryLink">lapse rate by releasing a American Meteorological Society, cited 2020: Radiosonde. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Radiosonde.]" class="glossaryLink">radiosonde attached to a American Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Weather.]" class="glossaryLink">weather balloon. A American Meteorological Society, cited 2020: Radiosonde. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Radiosonde.]" class="glossaryLink">radiosonde sends back data on temperature, humidity, wind, and position, which are plotted on a thermodynamic diagram. This vertical plot of temperature and other variables is known as a sounding. Dry American Meteorological Society, cited 2019: Stability. Glossary of Meteorology. [Available http://glossary.ametsoc.org/wiki/Stability.]" class="glossaryLink">Stability online at If an American Meteorological Society, cited 2019: Air parcel. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Air_parcel.]" class="glossaryLink">air parcel is dry, meaning unsaturated, American Meteorological Society, cited 2019: Stability. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Stability.]" class="glossaryLink">stability is relatively straightforward. An ATMO 200 • 181 atmosphere where the environmental American Meteorological Society, cited 2019: Lapse rate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Lapse_rate.]" class="glossaryLink">lapse rate is the same as the American Meteorological Society, cited 2019: Dry-adiabatic lapse rate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Dry-adiabatic_lapse_rate.]" class="glossaryLink">dry adiabatic lapse rate, meaning that the temperature in the environment also drops by 9.8 K·km-1, will be considered neutrally stable. After some initial vertical displacement, the temperature of the American Meteorological Society, cited 2019: Air parcel. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Air_parcel.]" class="glossaryLink">air parcel will always be the same as the environment so no further change in position is expected. If the environmental American Meteorological Society, cited 2019: Lapse rate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Lapse_rate.]" class="glossaryLink">lapse rate is less than the American Meteorological Society, cited 2019: Dry-adiabatic lapse rate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Dry-adiabatic_lapse_rate.]" class="glossaryLink">dry adiabatic lapse rate, some initial vertical displacement of the American Meteorological Society, cited 2019: Air parcel. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Air_parcel.]" class="glossaryLink">air parcel will result in the American Meteorological Society, cited 2019: Air parcel. Glossary of 182 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Air_parcel.]" class="glossaryLink">air parcel either being colder than the environment (if lifted), or warmer than the environment (if pushed downward). This is because if lifted, the temperature of the American Meteorological Society, cited 2019: Air parcel. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Air_parcel.]" class="glossaryLink">air parcel would drop more than the temperature of the environment. This is a stable situation for a dry American Meteorological Society, cited 2019: Air parcel. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Air_parcel.]" class="glossaryLink">air parcel and a typical scenario in the atmosphere. The global average tropospheric American Meteorological Society, cited 2019: Lapse rate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Lapse_rate.]" class="glossaryLink">lapse rate is 6.5 K·km-1, which is stable for dry lifting. Finally, if the environmental American Meteorological Society, cited 2019: Lapse rate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Lapse_rate.]" class="glossaryLink">lapse rate is greater than the American Meteorological Society, cited 2019: Dry-adiabatic lapse rate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Dry-adiabatic_lapse_rate.]" class="glossaryLink">dry adiabatic lapse rate, some initial vertical displacement of the American Meteorological Society, cited 2019: Air parcel. Glossary of Meteorology. [Available ATMO 200 • 183 online at http://glossary.ametsoc.org/wiki/Air_parcel.]" class="glossaryLink">air parcel will result in the American Meteorological Society, cited 2019: Air parcel. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Air_parcel.]" class="glossaryLink">air parcel either being warmer than the environment (if lifted), or colder than the environment (if pushed downward). This is because if lifted, the temperature of the American Meteorological Society, cited 2019: Air parcel. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Air_parcel.]" class="glossaryLink">air parcel would drop less than the temperature of the environment. This is an unstable situation for a dry American Meteorological Society, cited 2019: Air parcel. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Air_parcel.]" class="glossaryLink">air parcel. In general for a dry American Meteorological Society, cited 2019: Air parcel. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Air_parcel.]" class="glossaryLink">air parcel, the following is true. UNSTABLE \end{align*}" QuickLaTeX.com"> \Gamma_{env} \:\:\:\:\: title="Rendered by American Meteorological Society, cited 2019: Moist adiabatic lapse rate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Moist- 184 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL adiabatic_lapse_rate.]" Adiabatic Lapse Rate class="glossaryLink">Moist When moisture is added, everything gets more complicated. In Chapter 4 we learned that whether or not an American Meteorological Society, cited 2019: Air parcel. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Air_parcel.]" class="glossaryLink">air parcel is saturated depends primarily on its temperature and, of course, its moisture content. The graph of the Clausius-Clapeyron relationship shows us that given the same amount of moisture, air is more likely to be saturated at a lower temperature. We know that as an American Meteorological Society, cited 2019: Air parcel. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Air_parcel.]" class="glossaryLink">air parcel is lifted, its temperature drops according to the American Meteorological Society, cited 2019: Dry-adiabatic lapse rate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Dryadiabatic_lapse_rate.]" class="glossaryLink">dry adiabatic lapse rate. So what happens when the American Meteorological Society, cited 2019: Air parcel. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Air_parcel.]" class="glossaryLink">air parcel is cold enough that the air becomes saturated with respect to water vapor? The short answer is that if it continues to cool, water vapor will condense to liquid water to form a cloud. When water vapor condenses, it goes from a higher American Meteorological Society, cited 2019: Energy. Glossary of ATMO 200 • 185 Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Energy.]" class="glossaryLink">energy state to a lower American Meteorological Society, cited 2019: Energy. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Energy.]" class="glossaryLink">energy state. American Meteorological Society, cited 2019: Energy. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Energy.]" class="glossaryLink">Energy is never created nor destroyed, especially in phase changes, so what happens to all that excess American Meteorological Society, cited 2019: Energy. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Energy.]" class="glossaryLink">energy? The American Meteorological Society, cited 2019: Energy. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Energy.]" class="glossaryLink">energy gets released in the form of American Meteorological Society, cited 2019: Latent heat. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Latent_heat.]" class="glossaryLink">latent heat. The American Meteorological Society, cited 2019: Latent heat. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Latent_heat.]" class="glossaryLink">latent heat of condensation is approximately equal to 2.5 * 106 J·kg-1, which means that for every kg of water vapor that condenses to form liquid water, 2.5 *106 Joules of American Meteorological Society, cited 2019: Energy. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Energy.]" class="glossaryLink">energy are released. 186 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL This has large consequences for the American Meteorological Society, cited 2019: Lapse rate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Lapse_rate.]" class="glossaryLink">lapse rate of an American Meteorological Society, cited 2019: Air parcel. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Air_parcel.]" class="glossaryLink">air parcel and distinguishes the American Meteorological Society, cited 2019: Dry-adiabatic lapse rate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Dryadiabatic_lapse_rate.]" class="glossaryLink">dry adiabatic lapse rate from the American Meteorological Society, cited 2019: Moist adiabatic lapse rate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Moistadiabatic_lapse_rate.]" class="glossaryLink">moist adiabatic lapse rate. As American Meteorological Society, cited 2019: Latent heat. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Latent_heat.]" class="glossaryLink">latent heat is added from the process of condensation, it offsets some of the adiabatic cooling from expansion. Because of this, the American Meteorological Society, cited 2019: Air parcel. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Air_parcel.]" class="glossaryLink">air parcel will no longer cool at the American Meteorological Society, cited 2019: Dryadiabatic lapse rate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Dry-adiabatic_lapse_rate.]" class="glossaryLink">dry adiabatic lapse rate, but will cool as a slower rate, known as the American Meteorological Society, cited 2019: Moist adiabatic lapse rate. Glossary of ATMO 200 • 187 Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Moistadiabatic_lapse_rate.]" class="glossaryLink">moist adiabatic lapse rate. To summarize, a parcel will cool at the dry adiabatic rate until it is saturated, after which it won’t cool as quickly due to condensation. The American Meteorological Society, cited 2019: Moist adiabatic lapse rate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Moist-adiabatic_lapse_rate.]" class="glossaryLink">moist adiabatic lapse rate varies a little by temperature, but in this class we will consider it a constant for simplicity: Γm = 4.5 K·km-1 = 4.5 °C·km-1 Moist American Meteorological Society, cited 2019: Stability. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Stability.]" class="glossaryLink">Stability The effects of moisture change the American Meteorological Society, cited 2019: Lapse rate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Lapse_rate.]" class="glossaryLink">lapse rate of the American Meteorological Society, cited 2019: Air parcel. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Air_parcel.]" class="glossaryLink">air parcel and, therefore, affects American Meteorological Society, cited 2019: Stability. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Stability.]" class="glossaryLink">stability. However, the concepts are still the same and we still compare the American Meteorological 188 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Society, cited 2019: Air parcel. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Air_parcel.]" class="glossaryLink">air parcel temperature to the environmental temperature. We have just one added complication to worry about—we need to know whether the American Meteorological Society, cited 2019: Air parcel. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Air_parcel.]" class="glossaryLink">air parcel is dry or moist. Some definitions are included below, which take into account both dry and moist adiabatic lapse rates. ATMO 200 • 189 A thermodynamic diagram showing the stability of the atmosphere based on the dry (Γd = 9.8 K km-1) and moist (Γm = 4.5 K km-1) adiabatic lapse rates (Created by Britt Seifert). The atmosphere is said to be absolutely stable if the environmental American Meteorological Society, cited 2019: Lapse rate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Lapse_rate.]" class="glossaryLink">lapse rate is less than the American Meteorological Society, cited 2019: Moist adiabatic lapse rate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Moist-adiabatic_lapse_rate.]" class="glossaryLink">moist adiabatic lapse rate. This means that a rising American Meteorological Society, cited 2019: Air 190 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL parcel. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Air_parcel.]" class="glossaryLink">air parcel will always cool at a faster rate than the environment, even after it reaches American Meteorological Society, cited 2019: Saturation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Saturation.]" class="glossaryLink">saturation. If an American Meteorological Society, cited 2019: Air parcel. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Air_parcel.]" class="glossaryLink">air parcel is cooler at all levels, then it will not be able to rise, even after it becomes saturated (when latent heating will counteract some cooling). The atmosphere is said to be absolutely unstable if the environmental American Meteorological Society, cited 2019: Lapse rate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Lapse_rate.]" class="glossaryLink">lapse rate is greater than the American Meteorological Society, cited 2019: Dry-adiabatic lapse rate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Dry-adiabatic_lapse_rate.]" class="glossaryLink">dry adiabatic lapse rate. This means that a rising American Meteorological Society, cited 2019: Air parcel. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Air_parcel.]" class="glossaryLink">air parcel will always cool at a slower rate than the environment, even when it is unsaturated. This means that it will be warmer (and less dense) than the environment, and allowed to rise. ATMO 200 • 191 The atmosphere is said to be conditionally unstable if the environmental American Meteorological Society, cited 2019: Lapse rate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Lapse_rate.]" class="glossaryLink">lapse rate is between the moist and dry adiabatic lapse rates. This means that the buoyancy (the ability of an American Meteorological Society, cited 2019: Air parcel. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Air_parcel.]" class="glossaryLink">air parcel to rise) of an American Meteorological Society, cited 2019: Air parcel. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Air_parcel.]" class="glossaryLink">air parcel depends on whether or not it is saturated. In a conditionally unstable atmosphere, an American Meteorological Society, cited 2019: Air parcel. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Air_parcel.]" class="glossaryLink">air parcel will resist vertical motion when it is unsaturated, because it will cool faster than the environment at the American Meteorological Society, cited 2019: Dryadiabatic lapse rate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Dry-adiabatic_lapse_rate.]" class="glossaryLink">dry adiabatic lapse rate. If it is forced to rise and is able to become saturated, however, it will cool at the American Meteorological Society, cited 2019: Moist adiabatic lapse rate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Moist-adiabatic_lapse_rate.]" class="glossaryLink">moist adiabatic lapse rate. In this case, it will cool slower than the environment, become warmer than the environment, and will rise. 192 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Hawaiian Focus Box Around Hawaii, the atmosphere is almost always conditionally unstable, meaning that the environmental American Meteorological Society, cited 2019: Lapse rate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Lapse_rate.]" class="glossaryLink">lapse rate lies somewhere between the dry and moist adiabatic lapse rates. For this reason, Hawaii almost always has convective clouds. Convective clouds are clouds where the edges are bumpy and American Meteorological Society, cited 2019: Cumuliform. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Cumuliform.]" class="glossaryLink">cumuliform, like cauliflower. The clouds are convective because the atmosphere is stable to dry lifting and unstable to moist lifting. Once the air is saturated, American Meteorological Society, cited 2020: Instability. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Instability.]" class="glossaryLink">instability sets in and vertical motion takes off. This is especially common as air is lifted over our mountainous islands. The forced lifting from the terrain creates clouds and rain right over the mountains! In scientific terms, the initial lifting of the stable low level dry air by the terrain causes the air to adiabatically expand and reach American Meteorological Society, cited 2019: Saturation. Glossary of Meteorology. [Available ATMO 200 • 193 online at http://glossary.ametsoc.org/wiki/ Saturation.]" class="glossaryLink">saturation, at which point the environment is unstable to moist lifting and convection is the result. Skew-T Log-P Diagram There are many different types of thermodynamic diagrams, but the main one we will discuss are Skew-T Log-P diagrams, so-named because the American Meteorological Society, cited 2020: Isotherms. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Isotherms.]" class="glossaryLink">isotherms (lines of equal temperature, T) on the diagram are slanted (skewed) and the American Meteorological Society, cited 2020: Isobars. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Isobars.]" class="glossaryLink">isobars (lines of equal pressure, P) on the diagram are in log space. Here we will focus on how to read and utilize Skew-T Log-P diagrams (often shortened to Skew-T diagram) to determine parcel buoyancy and atmospheric American Meteorological Society, cited 2019: Stability. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Stability.]" class="glossaryLink">stability. 194 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL An example Skew-T Log-P diagram from Lihue on August 31st, 2018. The sounding was retrieved from the Upper Air Soundings portion of the University of Wyoming Weather Web: http://weather.uwyo.edu/ upperair/sounding.html (Copyright 2018 by University of Wyoming Department of Atmospheric Science, used with permission.) The American Meteorological Society, cited 2020: Radiosonde. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Radiosonde.]" class="glossaryLink">radiosonde balloon sounding plotted here was launched from Lihue on Kauai (see the top left, labelled as station “91165 PHLI Lihue”). You can see the vertical environmental temperature profile (T) plotted as the black jagged line on the right. The dew point temperature (Td) with height is plotted with the black jagged line on the left. Although this figure may be overwhelming to read at first, we’ll walk ATMO 200 • 195 through it together. The horizontal axis is temperature in °C, with temperatures increasing to the right. The vertical axis is air pressure in hPa, decreasing with height, so higher heights are toward the top of the chart. When the T and Td lines are close together, the environment has a high relative humidity and the air is closer to American Meteorological Society, cited 2019: Saturation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Saturation.]" class="glossaryLink">saturation. In this particular sounding, there is a lot of moisture near the surface, but dries out in the mid-levels. American Meteorological Society, cited 2020: Radiosonde. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Radiosonde.]" class="glossaryLink">Radiosonde balloons are launched twice a day (00Z and 12Z) from many locations around the world. The latitude and longitude for the station is given in the top of the list on the right where station latitude (SLAT) is given as 21.99 degrees North and SLON is -159.34 degrees West. The station elevation SELV is 30 m. The sounding time and date is given in the bottom left, and the bottom right says “University of Wyoming” because in this particular example, the University of Wyoming is the organization that gathered and archived the dataset. You can find soundings for other locations and dates at this website: http://weather.uwyo.edu/upperair/sounding.html. Let’s go through the lines one by one. 196 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Isobars (horizontal, lines of constant pressure) and isotherms (slanted, lines of constant temperature) (CC BY-NC-SA 4.0). The horizontal lines on a Skew-T are American Meteorological Society, cited 2020: Isobars. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Isobars.]" class="glossaryLink">isobars, or lines of equal air pressure. You will typically see them given in hPa, but the lines in the above figure are in kPa. The American Meteorological Society, cited 2020: Isobars. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Isobars.]" class="glossaryLink">isobars have larger spaces as you get toward the top of the diagram because they are logarithmic with height. The evenly-spaced solid lines that slant up and to the right are American Meteorological Society, cited 2020: Isotherms. Glossary of Meteorology. [Available online at ATMO 200 • 197 http://glossary.ametsoc.org/wiki/Isotherms.]" class="glossaryLink">isotherms, or lines of equal temperature (T). This allows colder temperatures to be plotted on the diagram. Isohumes (slanted dashed lines), lines of constant mixing ratio (CC BY-NC-SA 4.0). The dashed lines that run up and to the right are isohumes, or lines of constant mixing ratio. These are typically given in units of g·kg–1. If you use a Skew-T where these lines are not dashed or color-coded, remember that these are spaced more closely together than American Meteorological Society, cited 2020: Isotherms. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Isotherms.]" 198 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL class="glossaryLink">isotherms and are more steep. They also do not line up with the temperature labels on the x-axis. Dry adiabatic lapse rate reference lines, also known as lines of constant potential temperature (CC BY-NC-SA 4.0). The evenly-spaced curved solid lines that run from bottom right to top left are dry adiabats, and depict the American Meteorological Society, cited 2019: Dry-adiabatic lapse rate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Dry-adiabatic_lapse_rate.]" class="glossaryLink">dry adiabatic lapse rate (9.8 K·km-1). The American Meteorological Society, cited 2019: Dry-adiabatic lapse rate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Dry-adiabatic_lapse_rate.]" class="glossaryLink">dry adiabatic lapse rate is considered a ATMO 200 • 199 constant, but you can see here that over large changes in temperature and pressure, it varies a little. Don’t worry about these variations—we still consider it a constant. American Meteorological Society, cited 2019: Dry-adiabatic lapse rate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Dry-adiabatic_lapse_rate.]" class="glossaryLink">Dry adiabatic lapse rate reference lines are also called lines of constant American Meteorological Society, cited 2019: Potential temperature. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Potential_temperature.]" class="glossaryLink">potential temperature (θ). The dry adiabats always curve upward from right to left in a concave way. Moist adiabatic lapse rate reference lines. (CC BY-NC-SA 4.0). 200 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL The uneven, dashed, lines that curve up and to the left are the moist adiabats. The American Meteorological Society, cited 2019: Moist adiabatic lapse rate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Moistadiabatic_lapse_rate.]" class="glossaryLink">moist adiabatic lapse rate varies with both temperature and moisture content, but is close to the American Meteorological Society, cited 2019: Dry-adiabatic lapse rate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Dryadiabatic_lapse_rate.]" class="glossaryLink">dry adiabatic lapse rate at high altitudes due to cold temperatures and small moisture content. These lines are parallel to the dry adiabats higher up on the Skew-T Log-P diagram. These are also lines of constant equivalent American Meteorological Society, cited 2019: Potential temperature. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Potential_temperature.]" class="glossaryLink">potential temperature (θe). ATMO 200 • 201 A complete Skew-T Log-P diagram, used to visualize changes in the atmosphere with altitude. (CC BY-NC-SA 4.0). Here is a complete Skew-T Log-P diagram. All of the lines look confusing and complicated when combined, but each represents a constant change in one variable. Let’s look at another real balloon sounding. This time launched from Hilo during Hurricane Lane. 202 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Balloon sounding launched from Hilo as Hurricane Lane impacted the Big Island. The sounding was retrieved from the Upper Air Soundings portion of the University of Wyoming Weather Web: http://weather.uwyo.edu/upperair/sounding.html. (Copyright 2018 by University of Wyoming Department of Atmospheric Science, used with permission.) On this Skew-T diagram, all of the same lines are there. Horizontal blue lines are American Meteorological Society, cited 2020: Isobars. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Isobars.]" class="glossaryLink">isobars, slanted blue lines are American Meteorological Society, cited 2020: Isotherms. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Isotherms.]" class="glossaryLink">isotherms, slanted purple lines are isohumes, the green lines are the dry adiabats, and the blue curved lines are the moist adiabats. The T (right) ATMO 200 • 203 and Td (left) black lines are close together and sometimes overlap in the lowest 500 hPa of the atmosphere because the lower levels are incredibly moist, and a deep cloud layer extended up to nearly 6 km altitude. Finding the American Meteorological Society, cited 2019: Lifting Condensation Level. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Lifting_condensation_level.]" class="glossaryLink">Lifting Condensation Level (LCL) When plotting a sounding on a Skew-T diagram, you may have a selection of data similar to the example given below. You will likely have pressure, temperature (T), and a dew point temperature (Td) with altitude. Sample atmospheric data to be plotted on the skew-T diagrams (CC BY-NC-SA 4.0). In order to plot the sounding, it is easiest to start by finding the pressure level and then move to the right to plot the temperature 204 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL and dew point temperature. Pay careful attention to the fact that the American Meteorological Society, cited 2020: Isotherms. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Isotherms.]" class="glossaryLink">isotherms are skewed. Rotate the axis in your mind when you plot your temperature and dew point. Once you have plotted all of your temperatures and dew points, you will have a vertical temperature and humidity profile of the atmosphere. Sample example plotted (CC BY-NC-SA 4.0). Now that we plotted the sounding, it is useful to know how a rising American Meteorological Society, cited 2019: Air parcel. Glossary of Meteorology. [Available online at ATMO 200 • 205 http://glossary.ametsoc.org/wiki/Air_parcel.]" class="glossaryLink">air parcel will behave when placed in this environment. Is the atmosphere stable, unstable, or conditionally unstable? We can determine this by estimating the rate at which a rising parcel will cool and drawing a parcel path upward. A rising American Meteorological Society, cited 2019: Air parcel. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Air_parcel.]" class="glossaryLink">air parcel will cool at the American Meteorological Society, cited 2019: Dry-adiabatic lapse rate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Dry-adiabatic_lapse_rate.]" class="glossaryLink">dry adiabatic lapse rate until it is saturated, after which it will cool at the American Meteorological Society, cited 2019: Moist adiabatic lapse rate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Moist-adiabatic_lapse_rate.]" class="glossaryLink">moist adiabatic lapse rate. How do we know when a parcel will be saturated? First we need to find the American Meteorological Society, cited 2019: Lifting Condensation Level. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Lifting_condensation_level.]" class="glossaryLink">Lifting Condensation Level (LCL). The American Meteorological Society, cited 2019: Lifting Condensation Level. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Lifting_condensation_level.]" class="glossaryLink">Lifting Condensation Level (LCL) is the level at which the water 206 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL vapor in an American Meteorological Society, cited 2019: Air parcel. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Air_parcel.]" class="glossaryLink">air parcel that is lifted dry adiabatically will be saturated. The red dot is air temperature and the blue circle is dew point temperature. This diagram is an example of of an unsaturated air parcel. Stull Figure 5.7 (CC BY-NC-SA 4.0). To find the LCL, start at the surface (or the pressure level closest to the surface, typically 1000 hPa) and plot the temperature and dewpoint temperature. In the case of the example above, the surface pressure level must be at a raised elevation with Psurf = 90 kPa or 900 hPa, T = 30 °C, and Td = -10 °C. Imagine that the American Meteorological Society, cited 2019: Air parcel. ATMO 200 • 207 Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Air_parcel.]" class="glossaryLink">air parcel has the same temperature and dewpoint temperature as the environment at first. Initially, it will cool at the American Meteorological Society, cited 2019: Dryadiabatic lapse rate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Dry-adiabatic_lapse_rate.]" class="glossaryLink">dry adiabatic lapse rate as it rises. First, follow the surface temperature upward along a dry adiabat. In all likelihood, the temperature will not be directly along a marked dry adiabat line as it is in the example so follow a line upward parallel to a dry adiabat. Similarly, start at your surface dew point and follow the isohume (constant mixing ratio line) upward because the moisture content of the American Meteorological Society, cited 2019: Air parcel. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Air_parcel.]" class="glossaryLink">air parcel does not change with dry lifting. Draw these lines upward until they intersect. This intersection will give you the level of the American Meteorological Society, cited 2019: Lifting Condensation Level. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Lifting_condensation_level.]" class="glossaryLink">lifting condensation level (LCL). 208 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Follow the dry adiabat and isohume lines until they intersect (CC BY-NC-SA 4.0). ATMO 200 • 209 The place where the two lines intersect is the lifting condensation level (CC BY-NC-SA 4.0). In this example, the surface temperature and dewpoint temperature line up nicely with an isohume and a dry adiabat line, but this typically won’t be the case with a real sounding. The procedure, however, will be the same. The LCL marks the approximate cloud base height for convective clouds (cumulus type), where rising air first becomes saturated. After the American Meteorological Society, cited 2019: Air parcel. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Air_parcel.]" class="glossaryLink">air parcel has been lifted dry adiabatically to the LCL, it becomes saturated. As we know, a saturated American Meteorological Society, cited 2019: Air parcel. Glossary of Meteorology. [Available online at 210 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL http://glossary.ametsoc.org/wiki/Air_parcel.]" class="glossaryLink">air parcel cools at the smaller American Meteorological Society, cited 2019: Moist adiabatic lapse rate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Moist-adiabatic_lapse_rate.]" class="glossaryLink">moist adiabatic lapse rate. From the LCL, follow a line parallel to a moist adiabat upward to get the approximate American Meteorological Society, cited 2019: Lapse rate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Lapse_rate.]" class="glossaryLink">lapse rate of your parcel as it rises. In the example soundings from Hilo and Lihue shown earlier, this same line is plotted in a light grey color from the surface all the way up in the atmosphere. It shows the temperature a surface based parcel would have when lifted through the troposphere. As you follow an American Meteorological Society, cited 2019: Air parcel. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Air_parcel.]" class="glossaryLink">air parcel temperature upward moist adiabatically, the point at which it intersects the environmental temperature profile (where your parcel becomes warmer than its environment) is called the American Meteorological Society, cited 2019: Level of Free Convection. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Level_of_free_convection.]" class="glossaryLink">Level of Free Convection, or the LFC. As you continue following the American Meteorological ATMO 200 • 211 Society, cited 2019: Air parcel. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Air_parcel.]" class="glossaryLink">air parcel path upward moist adiabatically from the LFC, the point where it intersects the sounding again (the point where your parcel becomes cooler than its environment) is called the American Meteorological Society, cited 2019: Level of neutral buoyancy. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Level_of_neutral_buoyancy.]" class="glossaryLink">Equilibrium Level (EL). Normand’s Rule for Wet-bulb Temperature You can estimate the surface wet bulb temperature by taking the LCL example one step further. Normand’s Rule is used to calculate the wet-bulb temperature from the air temperature and the dew point temperature. The wet bulb temperature is always between the dew point and the dry bulb temperature (Td ≤ Tw ≤ T). To find the wet bulb temperature on a Skew-T Log-P diagram, follow the surface T upwards along a dry adiabat, and the surface Td upwards along a isohume. Where they meet is the LCL, as just explained. Next, follow a moist adiabat back down to the surface. Where the moist adiabat intersects the surface is the wet-bulb temperature value. 212 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL CAPE & CIN The “positive area” between the parcel path and the environmental temperature profile, traced out between the LFC and the EL (where the parcel is warmer than the environment) gives a measure of the American Meteorological Society, cited 2019: Convective Available Potential Energy. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Convective_available_potential_energy.]" class="glossaryLink">Convective Available Potential –1 Energy, or CAPE, given in units of J·kg . This is an estimate of the buoyant American Meteorological Society, cited 2019: Energy. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Energy.]" class="glossaryLink">energy of a parcel and can provide a means of estimating the strength of any convection that may occur. CAPE can also provide an estimate of the maximum updraft intensity in a American Meteorological Society, cited 2020: Thunderstorm. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Thunderstorm.]" class="glossaryLink">thunderstorm. wmax is the estimated maximum vertical motion as a result of CAPE. American Meteorological Society, cited 2019: Convective Inhibition. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Convective_inhibition.]" ATMO 200 • 213 class="glossaryLink">Convective Inhibition, or CIN is essentially negative CAPE, also in J·kg–1. It is the negative area between the parcel path and the environmental temperature curve where the parcel is cooler than the environment. The larger the value of CIN, the greater the negative buoyant American Meteorological Society, cited 2019: Energy. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Energy.]" class="glossaryLink">energy that acts against CAPE. CIN sometimes acts as a “cap” on convection. If you have large CAPE but also large CIN, your CAPE may not be fully realized as buoyant American Meteorological Society, cited 2019: Energy. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Energy.]" class="glossaryLink">energy and you may not have any convection. However, if your parcel is able to break through the cap, that is, if it is able to rise and become warmer than the environment, convection may be strong. The figure below shows the locations of the LFC and EL, and shades in both positive and negative areas between the parcel path and the environmental temperature profile. 214 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL The locations of the LFC and EL in the vertical sounding are shown, found as the positive and negative areas between the parcel path and the environmental temperature profile (Public Domain). In the Lihue and Hilo soundings shown previously, values of CAPE and CIN are given in J·kg–1 in the column on the right hand side. Note that CIN is written as “CINS” and denoted as a negative value. ATMO 200 • 215 Locating the Tropopause Recall that the standard temperature decreases with height within the troposphere, but becomes isothermal with height within the the tropopause, and increases with height in the stratosphere. With this knowledge, the location of the tropopause, given by its pressure level, can be determined by examining a plotted sounding. In the upper part of your sounding, look for where the temperature profile becomes isothermal (parallel to your skewed American Meteorological Society, cited 2020: Isotherms. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Isotherms.]" class="glossaryLink">isotherms) or for an inversion (where the temperature increases with height, which will be tilted to the right more than your American Meteorological Society, cited 2020: Isotherms. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Isotherms.]" class="glossaryLink">isotherms). The base of the isothermal layer in your sounding is the tropopause. 216 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL A plotted sounding with two isothermal layers and a temperature inversion denoted (CC BY-NC-SA 4.0). There are many things we can learn about the atmosphere from Skew-T Log-P diagrams. Here we’ve provided just the basics to get you started. Chapter 5: Questions to Consider 1. An interactive or media element has been excluded from this version of the text. You can view it online here: ATMO 200 • 217 http://pressbooks-dev.oer.hawaii.edu/ atmo/?p=662 2. An interactive or media element has been excluded from this version of the text. You can view it online here: http://pressbooks-dev.oer.hawaii.edu/ atmo/?p=662 3. Drag and drop terms to their correct position in the atmospheric American Meteorological Society, cited 2019: Stability. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Stability.]" class="glossaryLink">stability diagram below: An interactive or media element has been excluded from this version of the text. You can view it online here: http://pressbooks-dev.oer.hawaii.edu/ atmo/?p=662 4. What does the American Meteorological Society, cited 2019: Lifting Condensation Level. Glossary of Meteorology. [Available online at 218 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL http://glossary.ametsoc.org/wiki/ Lifting_condensation_level.]" class="glossaryLink">Lifting Condensation Level (LCL) represent? How can it be found on a Skew-T diagram? 5. What is CAPE? How can it be found on a Skew-T diagram? Selected Practice Question Answers: An interactive or media element has been excluded from this version of the text. You can view it online here: http://pressbooks-dev.oer.hawaii.edu/ atmo/?p=662 Chapter 6: Clouds ALISON NUGENT AND SHINTARO RUSSELL Learning Objectives By the end of this chapter, you should be able to: 1. Define what a “cloud” is 2. Describe the importance of cloud condensation nuclei in cloud formation 3. Describe the difference between cumuliform and stratiform cloud classes 4. Differentiate between and identify major cloud types including cumulus, stratus, cirrus, altostratus, etc. 5. In addition to identifying the cloud, 219 220 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL you should know the general altitude (low, mid, or high), cloud class (convective or stratiform) and whether or not it is a rain cloud 6. Discuss when/where/why clouds form Cumulus clouds (Photo by Shintaro Russell). What is a cloud and how does it form? A cloud is a collection of suspended particles of water droplets and/or ice crystals in the atmosphere. The cloud droplets or crystals are so small that their terminal velocity, the highest velocity possible as an object falls through a fluid, is negligible. ATMO 200 • 221 They are falling but they fall so slowly that they appear to be suspended in the air. Recall from Chapter 4, the Clausius-Clapeyron diagram. The line represents the vapor pressure at saturation for a given temperature. The region to the right of the line represents air that is sub-saturated, and the region to the left of the line represents air that is super-saturated. Sub-saturated air has a relative humidity below 100% and super-saturated air has a relative humidity above 100%. 222 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL The Clausius-Clapeyron relationship showing that saturated vapor pressure vs. temperature have an exponential relationship (CC BY-SA 4.0). Imagine a point on the right side of the line, at T=75 °C, and e0=12.5 kPa. To become saturated, the air either needs to cool with the same moisture content (move left on a constant e0 line), or increase the moisture content (move upward on a constant T line) until the air meets the saturation curve. To put this another way, we know that clouds form when the atmosphere is ATMO 200 • 223 saturated. The list below describes the three ways air parcels can become saturated. Clouds can form from 1. Adding Moisture (or mixing with cool moist air) ◦ Sea smoke ◦ Contrails ◦ Cooling towers ◦ Exhaling 2. Cooling by Removing Heat ◦ Radiation fog: clear nights on land ◦ Advection fog: air moving over cold ocean currents 3. Cooling by Adiabatic Expansion ◦ Upward air motion ◦ Vortices, like wing tip vortices on aircraft, or tornados ◦ Supersonic flight Saturation is typically achieved by either adding moisture until the dew point temperature is equivalent to the temperature or cooling until the temperature is lowered to the dew point temperature. In some cases, both moisturizing and cooling can happen at the same time. The mixture of two unsaturated air 224 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL parcels can even cause saturation in the resulting mixture. For example, a person’s breath on a cold day or jet contrails can both form clouds because of this mixing process. Cloud Condensation Nuclei When air becomes saturated, excess water vapor in the atmosphere can condense to form liquid water. However, water vapor requires a surface on which to condense. The surface is provided by tiny particulates in the atmosphere known as aerosols, or more generally, cloud condensation nuclei (CCN). Aerosols are everywhere in the atmosphere. They can be composed of earth matter like dust, clay, or soot. They can also be composed of sea salt from the ocean, black carbon from fires, or sulfate from volcanic activity. They can be composed of material from plant or organism life, like sulfates and nitrates or volatile organic compounds, or even phytoplankton. Anything that is small enough to be lofted and suspended in the atmosphere has the potential to be an aerosol. An aerosol that is hygroscopic, or “water-liking”, has the potential to be a cloud condensation nuclei. If there were no aerosols in the atmosphere, relative humidities well over 100% would be needed for clouds to form. In laboratory studies with a clean atmosphere (with no aerosols) relative humidities up to 400% have been measured. In Earth’s atmosphere, aerosols are abundant, so water vapor does not struggle to find CCN to condense onto. Another type of aerosol that helps with the formation of cold clouds, or clouds composed of ice crystals, are called Ice Nuclei ATMO 200 • 225 (IN). Dust is a particularly good ice nuclei. Materials with a hexagonal shape, like ice crystals, also make particularly good surfaces for ice to form on. A common one used in cloud seeding is called silver iodide, AgI. We’ll discuss this more in the following chapter on precipitation. Cloud Naming Conventions Once a cloud forms, how do we know what to call it? Clouds form in many environments and look different depending on those environments, and depending on whether they’re composed of liquid droplets or ice crystals. The following diagram gives a brief overview of the many cloud types, along with their common abbreviations. This diagram shows the common cloud types and associated altitudes. The cloud naming convention involves dividing the atmosphere into Low, Middle, and High level clouds, and typically cumuliform and stratiform clouds (CC BY-SA 3.0). 226 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Clouds can be identified based on their appearance, shape, and altitude. The two primary cloud categories are cumuliform and stratiform clouds. By Appearance and Shape Cumuliform clouds develop as a result of vertical motions by atmospheric instability. They are convective clouds meaning that they form in air parcels that are buoyant and are undergoing convection, which is the transfer of heat or mixing within a fluid due to warm air rising and cool air sinking. Examples of cumuliform clouds include cumulus, cumulus congestus, and cumulonimbus. Stratiform clouds are horizontally layered clouds. They tend to spread into wide regions, and take on an appearance of a sheet or blanket. They typically form when a layer of air is brought to saturation but is thermodynamically stable, or when a convective cloud meets a stable layer and spreads out in a layered fashion. Examples of stratiform clouds include nimbostratus, stratus, altostratus, cirrostratus, and cirrus. By Water Phase Clouds composed of only liquid water droplets are called “warm clouds”, and typically have clearly defined edges. Low altitude clouds are usually warm clouds. Clouds made up of only ice crystals are called “cold clouds” and typically have fuzzy looking edges. The edges look fuzzy and not well defined because it takes longer to go from the ice phase to the vapor phase as compared to warm clouds. This transition ATMO 200 • 227 time scale results in a larger cloud to dry air transition region. High altitude clouds are always cold clouds. Clouds composed of liquid water and ice crystals are called “mixed phase clouds”. It is difficult to distinguish by eye whether a cloud is mixed phase. Often the decision comes down to the height of the cloud, knowing that clouds that extend from the surface up high in the atmosphere likely have a mixture of both liquid droplets and ice crystals. By Altitude Clouds at a high altitude have the prefix “cirro” or “cirrus”. Due to the high altitude, the cirrus and cirrostratus are made out of ice crystals. Clouds at mid-altitude have the prefix “alto”. They are usually made out of liquid droplets, but can be a mixture between liquid droplets and ice crystals. Low level clouds don’t have a particular prefix. By Characteristics The prefix “nimbo” or suffix “nimbus” indicates a precipitating cloud. Nimbostratus usually have light to moderate precipitation, whereas cumulonimbus or thunderstorm clouds have heavy precipitation and sometimes even hail. Other The above clouds represent the primary cloud types, but many other cloud names and cloud types are used in atmospheric 228 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL sciences. A few of the more common cloud names are given below. Lenticular clouds are stationary lens-shaped clouds with a smooth appearance that usually forms over the summit of a mountain or on the lee wave crest. They are also referred to as lee-wave clouds or mountain-wave clouds. Mammatus clouds are formed from downward convection, typically in the anvil portion of a cumulonimbus. They have a distinctive look that makes them easy to spot, especially at sunset. They are made up of hanging pouches that look a little bit like udders. Fog A cloud that forms at or near the ground is called fog. The main types of fog are upslope, radiation, advection, precipitation or frontal, and steam fog. Upslope, radiation, and advection fogs develop due to cooling. Upslope fog develops as stable, moist air rises over topography like a hill or mountain. Radiation fog occurs over land as radiational cooling lowers the air temperature to its dew point temperature. Radiation fog usually occurs during calm, clear nights. Advection fog forms as warm, moist air flows over a colder surface and the air cools to its dew point temperature. Frontal and steam fogs are formed by the addition of water vapor. Frontal fog develops when warm raindrops evaporate in a colder airmass. Steam fog or sea smoke forms as cold air moves over warmer water. ATMO 200 • 229 Cloud Identification Examples The image gallery below contains many different clouds types. The clouds are labelled and described in their figure captions. Stratus clouds over Diamond Head. Stratus clouds are a low level cloud type, composed of liquid droplets. They form in an atmosphere that is stably stratified, hence the featureless clouds. (Photo by Shintaro Russell) 230 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Cumulus clouds are a convective low level cloud type. They’re composed of liquid droplets and form in an unstable, or conditionally unstable atmosphere. (Photo by Shintaro Russell) ATMO 200 • 231 Cirrus clouds are a high level cloud type. Cirrus clouds are composed of tiny ice crystals. (Photo by Shintaro Russell) 232 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Cumulonimbus and Altocumulus clouds. The cumulonimbus cloud is the cloud that has a large vertical extent in the center of the image. The altocumulus clouds are on the top and the top right of the image. Cumulonimbus clouds have the suffix “nimbus” because they’re raining, and because they extend through so many levels of the atmosphere, they’re typically mixed phase, having both liquid and ice inside. (Photo by Shintaro Russell) ATMO 200 • 233 Cirrocumulus clouds are high level convective clouds. They’re typically constrained to a thin layer. (Photo by Shintaro Russell) 234 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL As cumulus clouds begin to grow vertically, they’re called cumulus congestus like these convective clouds in the image. They’re not cumulonimbus yet, but they’re deeper than the average cumulus. (Photo by Shintaro Russell) ATMO 200 • 235 Altocumulus clouds are mid-level cumulus clouds. Altocumulus and cirrocumulus are often difficult to differentiate from a photograph because the altitude is hard to gauge. However, these clouds look more well defined than the cirrocumulus in the prior image, meaning they’re likely made of liquid droplets rather than ice crystals. (Photo by Shintaro Russell) 236 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Stratocumulus clouds are low level layered clouds. They’re called strato – meaning layered, and cumulus – meaning convective because they’re convective-looking, but confined to a layer. (Photo by Shintaro Russell) A link to an entire cloud gallery put together by Shintaro Russell is included here. All of the photos were taken here in Hawaii, and so many cloud types are represented! Enjoy! Chapter 6: Questions to Consider 1. What relationship is shown in the Clausius-Clapeyron diagram? 2. Why are CCN important? 3. What is the difference between cumuliform and stratiform clouds? ATMO 200 • 237 4. Drag and drop the cloud type to its correct position in the diagram below: An interactive or media element has been excluded from this version of the text. You can view it online here: http://pressbooks-dev.oer.hawaii.edu/ atmo/?p=250 Selected Practice Question Answers: An interactive or media element has been excluded from this version of the text. You can view it online here: http://pressbooks-dev.oer.hawaii.edu/ atmo/?p=250 Chapter 7: Precipitation Processes ALISON NUGENT AND DAVID DECOU Learning Objectives By the end of this chapter, you should be able to: 1. Recall the importance of American Meteorological Society, cited 2019: Cloud Condensation Nuclei. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Cloud_condensation_nuclei.]" class="glossaryLink">cloud condensation nuclei and aerosols 238 ATMO 200 • 239 2. Calculate the speed of a falling cloud droplet and raindrop 3. Describe the Collision-Coalescence process 4. Describe the Ice Phase (WegenerBergeron-Findeisen) process Raindrops falling on a body of water (CC 0). Introduction Sometimes rain feels like a gentle mist but at other times its a heavy downpour that floods streets and sidewalks. Many times, clouds cover the skies but never produce any American Meteorological Society, cited 2020: Precipitation. Glossary of 240 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Precipitation.]" class="glossaryLink">precipitation at all. This leads us to question: why does it rain and do raindrop sizes vary? What is the relationship between raindrops and cloud droplets, and by what processes do each form? You know that clouds form by condensation but, apparently, condensation by itself is a necessary but insufficient condition for rain. We will explore why this is by examining cloud droplets and raindrops in more detail. The average cloud droplet is very small with an average diameter of about 20 micrometers (μm), which is the same as 20*10-6 m, 0.002 cm, or 0.02 mm. This diameter is about 100 times smaller than your average raindrop. Pro Tip: 1 micron (μm) is the same as onemillionth of a meter (1*10-6 m). In cloud microphysics, microns are the standard scale of measure. The following image gives a sense of the difference in scale between raindrops (left), cloud droplets (center), and American Meteorological Society, cited 2019: Cloud Condensation Nuclei. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Cloud_condensation_nuclei.]" class="glossaryLink">cloud condensation nuclei (right). The average raindrop has a diameter of 2 mm, and the average condensation nucleus has a diameter around 0.0002 mm. ATMO 200 • 241 Comparison of raindrop, cloud droplet, and condensation nucleus sizes, given as diameter in mm (Image Created by Britt Seifert). When considering the volume of the droplets or particles, this differences quickly grows. The following image shows the volume of various cloud droplets and rain drops on a log scale. 242 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Type of hydrometeor vs. radius “R”, given in microns, and drop volume (mm3) on a log scale (CC BY-NC-SA). Notice how cloud droplet sizes range from 2 μm to 50 μm and raindrop sizes range from 200 μm to 2500 μm. Liquid drops exist on a size spectrum from about 1 μm to almost 5,000 μm (or 0.5 cm). The minimum size for a cloud droplet is effectively set by the surface tension required to keep the H2O molecules together. The smaller the droplet, the higher the surface tension necessary. The maximum size for a raindrop is limited by drop breakup because when the drop becomes too large, air friction will break it up into a bunch of smaller droplets. In general, the only difference between a cloud droplet and a raindrop is that a raindrop has a non-negligible fall velocity. On a continuous spectrum of sizes, at some point the gravitational pull on water drops in the atmosphere becomes large enough not to ignore. While all drops will fall, the larger the drops are, the faster they fall. ATMO 200 • 243 Cloud Droplets Recall from the previous chapter on clouds that American Meteorological Society, cited 2019: Cloud Condensation Nuclei. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Cloud_condensation_nuclei.]" class="glossaryLink">cloud condensation nuclei (CCNs) are required for water vapor to condense onto. Many CCNs are hygroscopic, meaning they tend to absorb moisture, so condensation may start before the relative humidity reaches 100%. For example, when condensation occurs on salt particles, which are extremely hygroscopic, condensation can begin at 80% relative humidity or lower. Imagine there are many CCNs of differing sizes in a body of humid, but unsaturated air. If the air were to be lifted by a mountain or in a rising thermal, it would cool, and the relative humidity would increase. As the air nears American Meteorological Society, cited 2019: Saturation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Saturation.]" class="glossaryLink">saturation, condensation will begin to occur on the largest and most hygroscopic CCN. At some later time, a cloud of many small cloud droplets, far too small to fall at any significant speed, will form. The American Meteorological Society, cited 2020: Terminal Fall Velocity. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Terminal_fall_velocity.]" class="glossaryLink">terminal velocity of a falling cloud 244 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL droplet (with radius “r” less than 40 μm) is given by the following equation from Stoke’s Drag Law: where “r” needs to be expressed in meters. A simple calculation will show that it takes hours, if not days, for a cloud droplet to fall from even low altitudes. The friction provided by the air or even tiny upward air currents will keep cloud droplets suspended for long periods. American Meteorological Society, cited 2020: Terminal Fall Velocity. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Terminal_fall_velocity.]" class="glossaryLink">Terminal velocity implies that a steady state has been reached in the fall velocity with a balance between the downward gravitational force on the drops and the upward frictional drag of air. Raindrops For raindrops, a different equation is used to approximate the fall speed. For spherical raindrops, where ρ0 is a reference value of density, typically 1.2 kg m-3 and ρair is the density of air where the raindrop exists. Again, “r” is the radius of the drop, given in meters. High up in the atmosphere when ρair is small, the speed of a falling raindrop, ATMO 200 • 245 wT, rain, will be faster than near the surface when ρair is similar magnitude to ρ0. As the air density increases, the frictional drag on a drop also increases. Note that this equation for raindrops is a vast simplification because raindrops are not typically spherical shaped. As they fall, the passing air deforms them into pancake shaped drops. However, this equation provides an approximation for fall velocity. So how can cloud droplets grow to form raindrops? The condensation process is not enough and is far too slow to produce raindrops. From a volumetric view, it takes 1 million cloud droplets (10 μm radius) to combine together to make one single raindrop (1000 μm = 1 mm radius). There has to be another faster process by which cloud droplets can grow or combine together to become large and heavy enough to fall. We will discuss two primary rain formation theories. 1. Collision-Coalescence Process 2. Ice Phase Processes (Wegener-Bergeron-Findeisen) Collision-Coalescence Process In warm clouds, where all of the cloud droplets are liquid, the collision-coalescence process is the primary mechanism responsible for producing American Meteorological Society, cited 2020: Precipitation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Precipitation.]" 246 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL class="glossaryLink">precipitation. This is thought to be the case especially over tropical oceans. The collision-coalescence process is exactly as it sounds: cloud droplets collide and coalesce or stick together. Larger cloud droplets have slightly higher terminal velocities, because they have a smaller surfacearea-to-weight ratios. This advantage allows them to fall faster and collide with smaller cloud droplets. Sometimes the cloud droplets will stick together and coalesce to form a larger droplet. This begins a positive feedback where these larger droplets then fall even faster, collide with even more smaller droplets in their path, and aggregate more and more cloud droplets together. However, note that collision between cloud droplets does not always mean that coalescence will occur. Sometimes droplets will bounce apart during collision if their surface tensions are too strong. For collision-coalescence to begin, a cloud needs to have a wide distribution of cloud droplet sizes. This can occur from a variation in CCN type—for example, sea salt aerosols are particularly large—or from random collisions between droplets. The total amount of liquid water in a cloud as well as the time that a cloud droplet spends inside of a cloud influences how large it can grow through the collision-coalescence process. The cloud height is of course a factor here, but its a little more complicated than that. Rising motion in a cloud will slow the downward speed of a falling droplet. This can act to increase the amount of a time a cloud droplet spends in a cloud, as well as the size it will grow. Let’s cover a few examples. Deep cumulus clouds with convective updrafts tend to produce larger raindrops because upward motion is strong and droplets ATMO 200 • 247 have a long time in the cloud to grow. In fact, the droplets need to become sufficiently large in order for their fall velocity to overcome the updraft velocity. On the other hand, stratus clouds are typically not very thick and have weak updrafts, so droplets in these clouds don’t spend a long time in the cloud itself, and therefore are not be able to grow very large. If there is moist air below the stratus cloud, the drops may reach the ground as a light drizzle. However, if there is dry air below the stratus cloud, the drops may evaporate before they are able to reach the ground. To summarize, in warm clouds, cloud droplets grow to American Meteorological Society, cited 2020: Precipitation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Precipitation.]" class="glossaryLink">precipitation sized drops through the collision-coalescence process. The most important factor in raindrop production is the liquid water content of a cloud. Assuming the cloud has sufficient water, other factors that affect raindrop production are: thickness of the cloud; strength of updrafts within the cloud; cloud drop distribution of sizes; and difference in electric charge of the droplets and the cloud itself. Thin stratus clouds with weak vertical motion may produce weak drizzle, if any, while tall cumulus clouds with strong updrafts can produce heavy rain showers. The following image illustrates the collisioncoalescence process of raindrop production. 248 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL The collision-coalescence process occurring in warm clouds. The left image shows the importance of a range of cloud droplet sizes to initiate the collision-coalescence process while the image at right shows the acceleration of the process once a raindrop forms (Image Created by Britt Seifert). Ice Phase Process Ice crystals forming on a window at 30,000 feet (CC BY-SA 3.0). Outside of the tropics, the ice phase process of rain formation is ATMO 200 • 249 the primary mechanism producing most of the worlds American Meteorological Society, cited 2020: Precipitation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Precipitation.]" class="glossaryLink">precipitation. The ice phase process occurs in cold clouds or clouds with temperatures below 0°C. To understand why, we need to know something about freezing of liquid water droplets. Supercooled Water and Ice Nuclei Supercooled water is liquid water that exists below the freezing point of water (below 0°C). Similar to how cloud droplets need a surface on which to condense, ice crystals also need a nucleus or ice embryo to freeze. Without an ice nucleus, liquid water drops can remain liquid in temperatures as low as -40°C. Once beyond -40°C, all hydrometeors (water particles) will exist in the solid state. Typically the distribution of liquid and solid hydrometeors in a cloud looks like the following image. 250 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL A simple diagram showing the distribution of liquid and solid phase hydrometeors in a mixed phase cloud (CC BY-SA 3.0). At low elevations above freezing (region 4), the hydrometeors in the cloud exist as liquid droplets. Above the freezing level (region 3), supercooled liquid droplets exist. Above that, some liquid droplets begin to freeze, and both liquid and ice phase hydrometeors co-exist (region 2). Finally, above some level where the temperature is cold enough, all hydrometeors will exist in their solid state (region 1). When liquid water droplets freeze without any sort of nucleus, this is known as homogenous or spontaneous freezing. While this occurs within a large body of freshwater at temperatures ATMO 200 • 251 slightly below 0°C, cloud droplets will not freeze spontaneously until temperatures are -40°C or lower. For droplets to freeze spontaneously, enough molecules within the droplet must form a rigid pattern and become a tiny ice structure known as an ice embryo. When this embryo grows sufficiently large, at a certain size it will act as an ice nucleus, which are described below. The other molecules in the droplet then become attached to the ice structure and the entire droplet freezes. Tiny ice embryos are able to form when water drops just below freezing, but typically at these temperatures there is enough thermal agitation to weaken their structure and break them apart. At lower temperatures, there is less thermal motion, and ice embryos have a better chance of growing large enough to freeze the surrounding water. When you have larger volumes of water, ice embryos have a better chance of growing large enough to freeze the surrounding liquid before being broken up, but this becomes more and more difficult with smaller volumes of water. Only the largest cloud droplets can freeze spontaneously without a nucleus at temperatures below -40°C. In most cases, American Meteorological Society, cited 2020: Ice nucleus. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Ice_nucleus.]" class="glossaryLink">ice nuclei are required for ice crystals to form in sub-freezing clouds. Just as CCNs are required for liquid cloud droplets to form, ice crystals form on particles called American Meteorological Society, cited 2020: Ice nucleus. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ 252 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Ice_nucleus.]" class="glossaryLink">ice nuclei (IN). Particles serve as effective IN if they have similar geometry to an ice crystal, for example, ice itself is an effective IN. There are not many IN in the atmosphere, especially at temperatures above -10°C, but certain types of particles become active IN with lower temperatures. For example, dust can be an effective IN. American Meteorological Society, cited 2020: Ice nucleus. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Ice_nucleus.]" class="glossaryLink">Ice nuclei are rare compared to hygroscopic American Meteorological Society, cited 2019: Cloud Condensation Nuclei. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Cloud_condensation_nuclei.]" class="glossaryLink">cloud condensation nuclei. Some IN allow water vapor to immediately become solid ice when they come in contact together. These are known as deposition nuclei because the water vapor changes phase directly into solid ice without becoming liquid first (phase change from gas to solid is called deposition). IN that are effective at causing the freezing of supercooled liquid droplets are called freezing nuclei. Some freezing nuclei must be immersed in a liquid drop in order to freeze it, while others are effective at inducing condensation and then freezing. Many freezing nuclei will cause supercooled droplets to freeze as soon as they collide, which is called contact freezing, and these nuclei are referred to as contact nuclei. These different freezing methods are outlined in the figure below. ATMO 200 • 253 Four primary mechanisms that form ice in the atmosphere: homogeneous freezing; deposition nucleation; immersion freezing; and contact freezing (CC BY-SA 4.0). To summarize, cloud droplets may freeze spontaneously, but only at very low temperatures. American Meteorological Society, cited 2020: Ice nucleus. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Ice_nucleus.]" class="glossaryLink">Ice nuclei can help the growth of ice crystals, but they are not naturally abundant. Saturation Vapor Pressure So, we have cold clouds that contain many more liquid cloud droplets than ice crystals, even at sub-freezing temperatures, and these particles are not large/heavy enough to precipitate out of the cloud. How do we get rain and snow out of the ice-crystal process then? 254 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Imagine a cloud with super cooled liquid water and saturated air. At American Meteorological Society, cited 2019: Saturation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Saturation.]" class="glossaryLink">saturation, the liquid droplets are in equilibrium with the water vapor in the air. The number of water molecules leaving and entering the surface of the liquid droplets are equivalent. Now imagine that an ice crystal forms by one of the processes described above. In the below-freezing portion of a cloud, this ice crystal is surrounded by many liquid supercooled droplets. Because the American Meteorological Society, cited 2019: Saturation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Saturation.]" class="glossaryLink">saturation vapor pressures with respect to liquid and ice are slightly different, the presence of this new ice crystal has a big impact on the cloud. ATMO 200 • 255 The saturation vapor pressure with respect to liquid (blue) and with respect to ice (purple). The difference is shown at the top (CC BY-NC-SA). With respect to liquid, the liquid droplets were at American Meteorological Society, cited 2019: Saturation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Saturation.]" class="glossaryLink">saturation. But now, with respect to ice, the ice crystal is in an environment that is supersaturated. You can think of this as the following: it is easier for water molecules to escape a liquid surface through evaporation than to escape a solid surface. This means that there 256 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL will be many more molecules escaping the liquid water surface at a given temperature and will require more water vapor around it in order to keep the droplet in American Meteorological Society, cited 2019: Saturation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Saturation.]" class="glossaryLink">saturation. At the same temperature, the American Meteorological Society, cited 2019: Saturation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Saturation.]" class="glossaryLink">saturation American Meteorological Society, cited 2019: Vapor pressure. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Vapor_pressure.]" class="glossaryLink">vapor pressure above a surface of water is greater than the American Meteorological Society, cited 2019: Saturation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Saturation.]" class="glossaryLink">saturation American Meteorological Society, cited 2019: Vapor pressure. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Vapor_pressure.]" class="glossaryLink">vapor pressure above a surface of ice. This difference in American Meteorological Society, cited 2019: Saturation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Saturation.]" class="glossaryLink">saturation American Meteorological Society, cited 2019: Vapor pressure. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Vapor_pressure.]" class="glossaryLink">vapor pressure with respect to water and ice causes water vapor molecules to deposit ATMO 200 • 257 from the environment onto the ice crystal. Because the vapor molecules are being removed from the environment around the liquid droplet, the American Meteorological Society, cited 2019: Vapor pressure. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Vapor_pressure.]" class="glossaryLink">vapor pressure with respect to the water surface decreases. This throws the water droplets out of equilibrium with their surroundings, causing them to evaporate, replenishing the removed water vapor from the environment. This provides additional moisture for the ice crystal, allowing it to grow at the expense of the liquid droplets. This process is called the Wegener-Bergeron-Findeisen (or more generally, the ice phase) process. Ice crystals in a subfreezing region of a cloud will grow larger at the expense of surrounding water droplets. Falling Ice Crystals Imagine this happening throughout a large cloud. The water vapor within the cloud as well as the water vapor from evaporating supercooled liquid droplets provides a continuous source of moisture for ice crystals, allowing them to grow rapidly. Eventually, these ice crystals become large enough to fall. The same issues exist with updrafts and rising air, but at some point the crystals will fall faster than the updrafts within the cloud. Sometimes, ice crystals collide with nearby supercooled droplets in the cloud, causing them to freeze onto the crystal as ice. The 258 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL ice crystal will grow larger and larger as it collides into more droplets, this is called riming or American Meteorological Society, cited 2020:Accretion. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Accretion.]" class="glossaryLink">accretion. This forms an icy clump called American Meteorological Society, cited 2020: Graupel. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Graupel.]" class="glossaryLink">graupel (also known as snow pellets), which may break apart into tiny ice particles as it collides with more droplets. These splinters may form American Meteorological Society, cited 2020: Graupel. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Graupel.]" class="glossaryLink">graupel of their own as they collide into other droplets, which in turn may also splinter, causing a chain reaction. In clouds that are colder, ice crystals may collide together and break apart into smaller ice particles, which act as tiny seeds that can freeze supercooled droplets on contact. This could also cause a chain reaction that produces many ice crystals. As these ice crystals fall, they can collide and stick together. This process of collision and sticking is called American Meteorological Society, cited 2020: Aggregation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Aggregation.]" class="glossaryLink">aggregation. A fully grown ice crystal is what we call a American Meteorological Society, cited 2020: Snowflake. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Snowflakes.]" class="glossaryLink">snowflake. ATMO 200 • 259 The growth of ice crystals occurs during its descent through aggregation (CC 0). There must be many times more water droplets in a cloud than ice crystals for ice crystals to get large enough to fall as snow—on the order of 100,000:1 to 1,000,000:1. Precipitation Types The ice phase process accounts for most global American Meteorological Society, cited 2020: Precipitation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Precipitation.]" class="glossaryLink">precipitation. The term American Meteorological Society, cited 2020: Precipitation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Precipitation.]" class="glossaryLink">precipitation refers to all types of American Meteorological Society, cited 2020: Precipitation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Precipitation.]" class="glossaryLink">precipitation—from fog, rain, snow, hail, etc. Anything composed of water that is falling in the atmosphere can be called American Meteorological Society, 260 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL cited 2020: Precipitation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Precipitation.]" class="glossaryLink">precipitation. However, we know that not everywhere in the world gets snow all the time. While the ice phase process helps with American Meteorological Society, cited 2020: Precipitation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Precipitation.]" class="glossaryLink">precipitation formation, many things can happen to falling drops along their journey from the cloud to the ground. Here are a few examples. Rain: Ice crystals melt before they hit the ground. Snow: Ice crystals collide and stick, forming a fully grown ice crystal, and falling to the ground as a American Meteorological Society, cited 2020: Snowflake. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Snowflakes.]" class="glossaryLink">snowflake. American Meteorological Society, cited 2020: Graupel. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Graupel.]" class="glossaryLink">Graupel: Ice crystals collide and stick with other ice crystals forming clumps of snow called American Meteorological Society, cited 2020: Graupel. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Graupel.]" class="glossaryLink">graupel. Sleet: A mixture of rain and snow, formed by partial melting. ATMO 200 • 261 Freezing Rain: Supercooled liquid rain that freezes on impact with the surface. Ice Pellets: Ice crystals melt before they hit the ground, refreeze in a cold layer, usually just above the surface, and end up falling as frozen rain drops. Hail: Ice crystals that repeatedly pass through a supercooled liquid region of cloud where riming builds up on the hydrometeor. The formation of hail requires strong updrafts and a relatively long time inside of a cloud. As you can see, the journey of an ice crystal after formation is not always straightforward and depends strongly on the environmental conditions, especially temperature. In the following chapters (especially chapter 12), we will learn how airmasses and fronts combine together regularly in Earth’s atmosphere to create conditions that are conducive to all types of American Meteorological Society, cited 2020: Precipitation. Glossary of Meteorology. [Available http://glossary.ametsoc.org/wiki/Precipitation.]" class="glossaryLink">precipitation. online at 262 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Precipitation changes associated with the passage of a warm front (Public Domain). The above image provides an example of how a American Meteorological Society, cited 2020: Warm Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Warm_front.]" class="glossaryLink">warm front creates temperature gradients in the atmosphere that produces American Meteorological Society, cited 2020: Precipitation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Precipitation.]" class="glossaryLink">precipitation types from rain, freezing rain, sleet, and snow depending on your location with respect to the American Meteorological Society, cited 2020: Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Front.]" class="glossaryLink">front. ATMO 200 • 263 Chapter 7: Questions to Consider 1. Which rain formation process produces most of the worlds American Meteorological Society, cited 2020: Precipitation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Precipitation.]" class="glossaryLink">precipitation? What type of cloud does this process occur in? 2. What factors determine how large a cloud droplet can grow through collisioncoalescence? 3. Match the ice nucleation methods: An interactive or media element has been excluded from this version of the text. You can view it online here: http://pressbooks-dev.oer.hawaii.edu/ atmo/?p=304 4. An interactive or media element has been excluded from this version of the text. You can view it online here: http://pressbooks-dev.oer.hawaii.edu/ atmo/?p=304 264 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Selected Practice Question Answers: An interactive or media element has been excluded from this version of the text. You can view it online here: http://pressbooks-dev.oer.hawaii.edu/ atmo/?p=304 Chapter 9: Weather Reports and Map Analysis ALISON NUGENT AND DAVID DECOU Learning Objectives By the end of this chapter, you should be able to: 1. Describe a few global atmospheric observation networks 2. Define the meaning of pressure and temperature lines on a map 3. Discuss the importance of American Meteorological Society, cited 2020: Synoptic. Glossary of Meteorology. [Available online at 265 266 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL http://glossary.ametsoc.org/wiki/ Synoptic.]" class="glossaryLink">synoptic maps, and the information required to make one High resolution surface map (Public Domain). Introduction American Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Weather.]" class="glossaryLink">Weather encompasses the state of the atmosphere at any given time, and it is in a constant state of ATMO 200 • 267 change. Temperature, pressure, humidity, wind, American Meteorological Society, cited 2020: Precipitation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Precipitation.]" class="glossaryLink">precipitation, cloud cover, visibility—this type of data is constantly being collected around the globe, both at the surface and aloft in the upper atmosphere. How is this data collected and where does it come from? How is it shown on a map? What is the purpose of plotting American Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Weather.]" class="glossaryLink">weather conditions on a map if they are changing all the time? This chapter serves as a brief introduction to surface American Meteorological Society, cited 2020: Synoptic. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Synoptic.]" class="glossaryLink">synoptic American Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Weather.]" class="glossaryLink">weather maps and interpreting the data plotted on them. Simplified American Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Weather.]" class="glossaryLink">weather charts are used frequently on TV, showing locations of high and low pressure systems, fronts, and storm systems. You’re likely familiar with this material already, just from your day to day experiences. 268 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Meteorological Reports and Observations The World Meteorological Organization (WMO) is a branch of the United Nations and it sets global American Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Weather.]" class="glossaryLink">weather observation standards to be used by countries across the globe. American Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Weather.]" class="glossaryLink">Weather systems span countries and continents so American Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Weather.]" class="glossaryLink">weather observations have to be synchronized to get an accurate big-picture view (a American Meteorological Society, cited 2020: Synoptic. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Synoptic.]" class="glossaryLink">synoptic view) of the American Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Weather.]" class="glossaryLink">weather at a given time. Upper air and surface observations are taken at specific times in Coordinated Universal Time (UTC) so that they can be coordinated simultaneously across different time zones. For example, most upper-air observations are taken at 00 and 12 UTC, but surface observations are typically taken more frequently. American Meteorological Society, cited 2020: Synoptic. Glossary of Meteorology. [Available online at ATMO 200 • 269 http://glossary.ametsoc.org/wiki/Synoptic.]" class="glossaryLink">Synoptic American Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Weather.]" class="glossaryLink">weather maps put together these observations. Observations are reported using internationally standardized codes. One of the most commonly used codes is METAR, which comes from the French MÉTéorologique Aviation Régulière, or Meteorological Terminal Aviation Routine. It is a summary of surface American Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Weather.]" class="glossaryLink">weather conditions reported at hourly or half hourly intervals depending on the station. METAR is provided by airport terminals for the purposes of aviation meteorology. In general, METAR includes reports of wind speed and direction, visibility, cloud layers at different levels of the atmosphere, surface temperature and dew point temperature, air pressure, as well as American Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Weather.]" class="glossaryLink">weather conditions such as American Meteorological Society, cited 2020: Precipitation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Precipitation.]" class="glossaryLink">precipitation or thunderstorms near the station. SPECI is a special non-routine form of METAR, provided when airport American Meteorological Society, cited 2019: Weather. Glossary of 270 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Weather.]" class="glossaryLink">weather conditions change significantly. You are not required to translate or memorize METAR for the purposes of this class, but it is useful to recognize it because it is very commonly used. Translations for parts of METAR code can be easily found online. METAR: PHNL 072153Z 05012KT 10SM FEW025 FEW050 BKN200 31/17 A3006 RMK AO2 SLP180 T03060167 Above is an example of METAR, taken from Honolulu International Airport. “PHNL” is the ICAO airport code for Honolulu International. The “072153Z” indicates that the report was given on the 7th of the month (August 7th) at 2153Z (Universal Time), which is 11:53 AM local time. The “05012KT” is the wind report, and indicates that winds are blowing at 12 knots from 50°, which is roughly from the northeast. The “10SM” indicates that visibility is 10 statute miles, which is another way of saying that visibility on the runway is clear. If visibility is 10 statute miles or greater, it is always reported as just “10SM”. The “FEW025 FEW050 BKN200” are reports of different cloud heights, which are important for aviation purposes. This report says that there are is a layer of a “few” clouds at 2,500 and 5,000 feet, with a layer of “broken” clouds at 20,000 feet. The “31/17” is telling us that the temperature is 31°C with a dew point temperature of 17°C. The “A3006” gives the station air pressure at 30.06 in Hg (inches of Mercury, this unit is still primarily used in aviation). The “RMK” denotes the remarks section of a METAR report where additional remarks and information about the American ATMO 200 • 271 Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Weather.]" class="glossaryLink">weather are provided. The “AO2” is a code that indicates that the airport observing site is automated and contains a American Meteorological Society, cited 2020: Precipitation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Precipitation.]" class="glossaryLink">precipitation sensor. Some sites are not automated or do not have a American Meteorological Society, cited 2020: Precipitation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Precipitation.]" class="glossaryLink">precipitation sensor so there are different codes to denote this. Automated reports can also have nonautomated remarks added to them. The “SLP180” gives the sea level pressure as 1018.0 mb. And the “T03060167” gives a more accurate temperature and dew point temperature reading. It reports that the temperature is actually 30.6°C and the dew point temperature is actually 16.7°C. Weather Observation Locations Surface American Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Weather.]" class="glossaryLink">weather observations include automated observations from Automated Surface Observing System (ASOS) sites in the United States, as well as hourly observations from airports around the world, reported as METAR. Manual and ship observations are also made at specific times. Surface 272 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL observations of the American Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Weather.]" class="glossaryLink">weather are important for providing information about the American Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Weather.]" class="glossaryLink">weather conditions that we experience here on the ground. These conditions include temperature, dew point temperature, wind speed and direction, air pressure, cloud cover, visibility, and American Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Weather.]" class="glossaryLink">weather conditions such as American Meteorological Society, cited 2020: Precipitation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Precipitation.]" class="glossaryLink">precipitation or thunderstorms. Although surface American Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Weather.]" class="glossaryLink">weather observations are important, they only tell a part of the full story. Just as ripples on the surface of a river can be a sign of what is happening below, surface observations can give an idea of what is happening above. Much of the American Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Weather.]" class="glossaryLink">weather that happens at or near the ATMO 200 • 273 ground is strongly affected by conditions higher up in the atmosphere. Observations of the upper atmosphere are taken by American Meteorological Society, cited 2020: Radiosonde. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Radiosonde.]" class="glossaryLink">radiosonde packages, which are carried aloft by American Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Weather.]" class="glossaryLink">weather balloons. These American Meteorological Society, cited 2020: Radiosonde. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Radiosonde.]" class="glossaryLink">radiosonde observations (RAOBs) provide soundings of the upper-air environment, giving information about temperature, humidity, and pressure at vertical levels throughout the atmospheric column. Recall from Chapter 5 that temperature and humidity aloft are usually plotted against pressure in a thermodynamic diagram called a Skew-T. Some radiosondes can infer wind data at different heights—these are called rawinsondes. When these instrument packages are dropped from an aircraft, they are called dropsondes. All of this data is accumulated, organized, tested, and stored in computers at governmental centers such as the European Centre for Medium-Range American Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Weather.]" class="glossaryLink">Weather Forecasts (ECMWF). Other 274 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL data collecting systems include American Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Weather.]" class="glossaryLink">weather radar (such as the NEXRAD network in the United States) and satellite, as well as vertical wind profilers and Radio Acoustic Sounding Systems (RASS). The following figures show locations of data collected by ECMWF over a 6-hour time period. The first figure shows surface observation locations located on land, the second shows surface observations over the ocean, and the third shows the upper air sounding observational network. Surface observation locations for temperature, humidity, winds, clouds, precipitation, pressure, and visibility (CC BY-NC-SA 4.0). ATMO 200 • 275 Buoy observation platforms for surface temperature and winds over the ocean (CC BY-NC-SA 4.0). Upper air observation and sounding locations for temperature, pressure, and humidity aloft. Stull Figure 9.4 (CC BY-NC-SA 4.0). Sea-Level Pressure Adjustment American Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at 276 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL http://glossary.ametsoc.org/wiki/Weather.]" class="glossaryLink">Weather stations exist at many altitudes. Because air pressure decreases with height, American Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Weather.]" class="glossaryLink">weather stations in cities at high elevations will report far lower air pressures than cities at lower elevations. Air pressure varies vertically far more than it does horizontally. To make air pressure comparable, the station pressure needs to be adjusted to the pressure it would have if the station were at sea level. If this were not done, pressure differences between nearby surface stations would be dominated by their difference in elevation, and a surface pressure map would more closely resemble a map of elevation rather than a map of atmospheric pressure. By correcting for altitude differences, American Meteorological Society, cited 2020: Synoptic. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Synoptic.]" class="glossaryLink">synoptic maps show mean sea level pressure, which is used to show low and high pressure centers near the surface. Synoptic Weather Maps Surface American Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Weather.]" class="glossaryLink">weather observations taken at many American Meteorological Society, cited 2019: Weather. ATMO 200 • 277 Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Weather.]" class="glossaryLink">weather stations at a given time can be shown on a American Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Weather.]" class="glossaryLink">weather map through the use of a station plot model, an example of which is given below. Station plot models typically provide wind information through wind barbs, as well as current American Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Weather.]" class="glossaryLink">weather conditions, sea level pressure, temperature, dew point temperature, visibility, and cloud cover. Sometimes additional information such as pressure tendency, cloud type, and American Meteorological Society, cited 2020: Precipitation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Precipitation.]" class="glossaryLink">precipitation amounts are also given. When reading wind barbs, keep in mind that the flag always points in the direction that the wind is coming from. You can think of it as an arrow flying from a bow, the flag represents the feathers, which are at the back of the arrow in the direction the arrow is coming from. The tip is the direction the arrow is flying toward. More information on wind barb and cloud cover symbols are provided below. Sea level pressure is typically given in three digits, with the last digit being the nearest tenth. The initial 9 or 10 is left out. 278 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL So, “147” is actually 1014.7 mb and “998” would be 999.8 mb. When reading station plot pressure, mentally place a decimal point to the left of the third digit, and use your intuition and the pressure of nearby stations in order to decide if the pressure has a leading 9 or 10. Example station plot model (Public Domain). The table below provides information for wind barbs. Two concentric circles with no lines indicates calm wind and a line with no barbs is 1-2 speed units. A half line is 5, a full line is 10, and a triangle is 50. On many American Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Weather.]" class="glossaryLink">weather maps, the unit for winds is given in knots, although different American Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Weather.]" class="glossaryLink">weather maps can use different units so it ATMO 200 • 279 is always good to check. The lines and triangles are read a bit like roman numerals—just add them up! Wind barb chart (CC BY-NC-SA 4.0). The table below provides sky cover information, which is typically shown in the circular center of the station plot model. Depending on the symbol type, it can indicate clear sky or various levels of overcast skies. 280 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Sky cover chart. Stull Table 9-10 (CC BY-NC-SA 4.0). Map Analysis Surface observations as described above are plotted on a map in the form of station plot models, as in the figure below. When looking at the map of raw data below, you can get an idea ATMO 200 • 281 of the prevailing wind direction in different parts of the US, which areas are experiencing widespread rain, which areas are overcast, and from the wind direction patterns you can even infer centers of high and low pressure. However, much of this information is not very clear without doing some analysis on the map. Map analysis can either be done by hand or by computer, and involves the drawing of contours, or American Meteorological Society, cited 2020: Isopleths. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Isopleths.]" class="glossaryLink">isopleths (lines of equal value) to connect areas of constant air pressure and temperature at the surface. Aloft, contours may be drawn to show areas of constant height, constant humidity, constant wind speed, and other parameters of interest at constant pressure levels. Map analysis also includes drawing and labeling boundaries in the atmosphere, such as fronts or dry lines to show the locations and movement of air masses. Fronts will be covered in a later chapter. Here, we will focus on lines of constant pressure, American Meteorological Society, cited 2020: Isobars. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Isobars.]" class="glossaryLink">isobars, and lines of constant temperature, American Meteorological Society, cited 2020: Isotherms. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Isotherms.]" class="glossaryLink">isotherms. 282 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Map with station plot models (CC BY-NC-SA 4.0). Isopleths The below figure shows a grid of equally spaced temperature values in °C. When analyzing the temperature on a map, you draw American Meteorological Society, cited 2020: Isopleths. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Isopleths.]" class="glossaryLink">isopleths of constant temperature: American Meteorological Society, cited 2020: Isotherms. Glossary of Meteorology. [Available online at ATMO 200 • 283 http://glossary.ametsoc.org/wiki/Isotherms.]" class="glossaryLink">isotherms. The main purpose of this is to separate areas of warmer air from cooler air, and to get an idea of how quickly the temperature changes across a horizontal distance, which is also known as the temperature gradient. American Meteorological Society, cited 2020: Isotherms. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Isotherms.]" class="glossaryLink">Isotherms are typically drawn every 5°C on the 5’s – for example, 5°C, 10°C, 15°C, 20°C, 25°C, and so on. Standard conventions are used for contouring on different map surfaces, for example, American Meteorological Society, cited 2020: Isotherms. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Isotherms.]" class="glossaryLink">isotherms are usually dashed and shown in red. You will not need to know these conventions for this class, but it may still come in handy to be aware. In looking at the below temperature field, you can see that there are many values that do not line up exactly with the lines you need to draw. Many values lie in between contours, such as 4°C and 16°C. You will need to interpolate data, meaning you will have to infer where a datapoint is based on the data around it. Starting from the upper left corner, imagine that you are going to draw your 5°C isotherm. Five lies much closer to 4 than 16, so you will start your isotherm close to the 4. 5°C will also lie in between 3 and 15 °C, but slightly farther away from the 3 value, so you will slope your isotherm down slightly. Five degrees centigrade will also lie in between 2 and 7 °C, so you will continue your isotherm to the right. However, it will slope 284 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL down even further, because 5 lies closer to 7 than to 2. Your isotherm will then cross directly through the 5°C data point and slope back upward slightly between the 3 and 6 and directly through the middle between the 4 and 6 and back up through the 5 in the upper right hand corner. Blank temperature field (CC BY-NC-SA 4.0). The complete contoured example of this temperature field is given below. The atmosphere is a continuous fluid, so any fields that you are contouring (pressure, temperature) will never have values that jump or suddenly end. Contours will either be closed (both ends will connect) or they will extend to the edge of the map. They will never cross or end suddenly. If two contours were to cross, it would mean that one place has two different ATMO 200 • 285 air temperatures at one time, which is impossible. Areas where American Meteorological Society, cited 2020: Isotherms. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Isotherms.]" class="glossaryLink">isotherms are close together indicate a strong temperature gradient, which may be indicative of a frontal zone. Completed temperature field with isotherms (CC BY-NC-SA 4.0). Isobars Pressure fields are analyzed by drawing American Meteorological Society, cited 2020: Isobars. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Isobars.]" class="glossaryLink">isobars, or lines of constant air 286 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL pressure. The surface mean sea level pressure is analyzed in much the same way as the American Meteorological Society, cited 2020: Isotherms. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Isotherms.]" class="glossaryLink">isotherms above. However, the conventions are different. Typically, pressure is analyzed every 4 mb and centered on 1000 mb. American Meteorological Society, cited 2020: Isobars. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Isobars.]" class="glossaryLink">Isobars are typically drawn as solid black lines. The mean sea level pressure field is analyzed in order to identify areas of high and low pressure, as shown in the figure below. Areas where American Meteorological Society, cited 2020: Isobars. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Isobars.]" class="glossaryLink">isobars are drawn close together indicate places where the American Meteorological Society, cited 2020: Pressure Gradient Force. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Pressuregradient_force.]" class="glossaryLink">pressure gradient force is strong. A stronger American Meteorological Society, cited 2020: Pressure Gradient Force. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Pressuregradient_force.]" class="glossaryLink">pressure gradient force is indicative of stronger wind speeds. As you will learn later, winds tend to flow counterclockwise around areas of lower pressure, and clockwise around areas of high pressure in the Northern Hemisphere. ATMO 200 • 287 Surface map with isobars and station plot models (Public Domain). Because American Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Weather.]" class="glossaryLink">weather information is shared across continents and across country borders, it is important to maintain standards such that everyone effectively speaks the same language. American Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Weather.]" class="glossaryLink">Weather is one of the greatest international collaborations ever. If it weren’t for China and Russia sharing their American Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Weather.]" class="glossaryLink">weather information with the US, our 288 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL long range forecasts would be more inaccurate because we wouldn’t know the initial conditions of the atmosphere upstream of the North American continent. Chapter 10: Atmospheric Forces and Wind ALISON NUGENT AND SHINTARO RUSSELL Learning Objectives By the end of this chapter, you should be able to: 1. Define wind and why it occurs 2. Use u, v, and w to describe motion 3. Describe the five physical forces that can act on a parcel of air 4. Draw force diagrams for geostrophic wind, gradient wind, and wind in the American Meteorological Society, cited 289 290 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL 2019: Atmospheric boundary layer. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Atmospheric_boundary_layer.]" class="glossaryLink">atmospheric boundary layer (ABL) 5. Compute the speed of a geostrophic wind, and be able to qualitatively estimate the wind speed from American Meteorological Society, cited 2020: Isobars. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Isobars.]" class="glossaryLink">isobars ATMO 200 • 291 Map of wind barbs and isobars (Public Domain). Introduction Wind is the movement of air relative to the Earth’s surface. As with all moving things, it is caused by a force acting on it. Force is a pull or push that changes the resting state, motion, or direction of an object. Force can also cause objects to accelerate. Human skin can sense wind when an uncountable number of molecules collide with us as they flow along in the air, and sense the pressure changes in the air flow. Main forces There are five forces that influence the speed or direction of horizontal winds. 292 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL 1. American Meteorological Society, cited 2020: Pressure Gradient Force. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Pressure-gradient_force.]" class="glossaryLink">Pressure gradient force 2. American Meteorological Society, cited 2020: Advection. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Advection.]" class="glossaryLink">Advection 3. American Meteorological Society, cited 2020: Centrifugal Force. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Centrifugal_force.]" class="glossaryLink">Centrifugal force 4. American Meteorological Society, cited 2020: Coriolis Force. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Coriolis_force.]" class="glossaryLink">Coriolis force 5. American Meteorological Society, cited 2020: Turbulent Drag. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Drag_law.]" class="glossaryLink">Turbulent drag Remember from Chapter 1 that according to the Cartesian coordinates, x points east, y points north, and z points upwards. To define wind, we use wind components u, v, and w which correspond to the x, y, and z directions. These wind components are used in equations of motion used to predict wind to designate direction in a three-dimensional plane. We’ll go through each of ATMO 200 • 293 the five forces one by one to discuss how they affect wind speed and/or direction. Pressure Gradient Force A pressure gradient (PG) is a change in pressure over a distance. Therefore, the units of the American Meteorological Society, cited 2020: Pressure Gradient Force. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Pressure-gradient_force.]" class="glossaryLink">pressure gradient force are Pascals per meter (P m-1). The pressure gradient can be calculated simply as the change in pressure divided by the distance over which that change occurs. The size or strength of the pressure gradient determines the size or strength of the force that results from it. The American Meteorological Society, cited 2020: Pressure Gradient Force. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Pressuregradient_force.]" class="glossaryLink">pressure gradient force (PGF) is a force from high to low pressure over a distance. Without differences in pressure, there would be no wind because there would be nothing to accelerate airflow. In Chapter 9 we learned about American Meteorological Society, cited 2020: Isobars. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Isobars.]" class="glossaryLink">isobars, or lines of constant pressure. 294 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL When American Meteorological Society, cited 2020: Isobars. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Isobars.]" class="glossaryLink">isobars are tightly packed, we know that there is a strong pressure gradient or large change in pressure over a relatively short distance. A strong pressure gradient results in a large American Meteorological Society, cited 2020: Pressure Gradient Force. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Pressuregradient_force.]" class="glossaryLink">pressure gradient force and, as we’ll see, higher wind speeds. Depending on the text you read, you’ll see a number of different forms of the American Meteorological Society, cited 2020: Pressure Gradient Force. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Pressure-gradient_force.]" class="glossaryLink">pressure gradient force. Two equivalent representations are given below. The PGF as defined above is simply a change in pressure divided by the distance and air density. This gives the force per unit mass, hence PGF/m. Above we define PGF in the x-direction, but it can act in any horizontal plane. The units of the PGF will be in units of acceleration above because Force = Mass * Acceleration, but because we’re dividing the left-hand side by Mass the units will be m s-2. The negative signs in the above equation is due to the fact that the PGF acts from high pressure to low pressure. ATMO 200 • 295 Another equivalent way to represent the PGF is as follows. Because Mass = Volume * Density, we then see that Volume = Mass/Density. The second equation is identical to the first, except that Mass/Density is on the right hand side in the form of Volume instead of being split between left and right sides of the equals sign. Also, the variable L is used for length or distance instead of Δx so that it isn’t for a specific direction. Similarly, the absolute value of the PGF is calculated, and the direction is determined, by the location of High and Low pressure systems. Typically in class we won’t calculate the PGF, only the PG. However, it’ll be widely used in force balance equations. Advection While American Meteorological Society, cited 2020: Advection. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Advection.]" class="glossaryLink">advection is included in the list of forces, it is actually not a true force. Still, American Meteorological Society, cited 2020: Advection. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Advection.]" class="glossaryLink">advection can result in a change of wind speed in some locations. Wind moving through a point carries specific momentum, which is defined as momentum per unit mass. Recall that momentum is mass times velocity. Specific momentum then is simply equal to the velocity 296 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL or wind speed. Therefore, as wind moves by a point, the wind can move or advect variations in winds to the fixed location. Centrifugal Force The American Meteorological Society, cited 2020: Centrifugal Force. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Centrifugal_force.]" class="glossaryLink">centrifugal force is an apparent force that includes the effects of inertia for winds moving along a curved path. The directionality of the American Meteorological Society, cited 2020: Centrifugal Force. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Centrifugal_force.]" class="glossaryLink">centrifugal force points outward from the center of the curve. The American Meteorological Society, cited 2020: Centrifugal Force. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Centrifugal_force.]" class="glossaryLink">centrifugal force is the opposite of the centripetal force. As we know, inertia is the physical tendency to remain unchanged. Therefore inertia causes an American Meteorological Society, cited 2019: Air parcel. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Air_parcel.]" class="glossaryLink">air parcel to “want” to move along a straight line. Turning the American Meteorological Society, cited 2019: Air parcel. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Air_parcel.]" class="glossaryLink">air parcel along a curved path requires a centripetal force that pulls inward to the ATMO 200 • 297 center of rotation. As a result, a net imbalance of other forces occurs. You have felt the American Meteorological Society, cited 2020: Centrifugal Force. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Centrifugal_force.]" class="glossaryLink">centrifugal force many times in your life. The American Meteorological Society, cited 2020: Centrifugal Force. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Centrifugal_force.]" class="glossaryLink">centrifugal force is easily felt as you travel in a moving vehicle around a corner. The force that you feel pulling you outwards is the American Meteorological Society, cited 2020: Centrifugal Force. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Centrifugal_force.]" class="glossaryLink">centrifugal force. Coriolis Force The American Meteorological Society, cited 2020: Coriolis Force. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Coriolis_force.]" class="glossaryLink">Coriolis force (CF) is another apparent force that occurs due to the rotation of Earth. The American Meteorological Society, cited 2020: Coriolis Force. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Coriolis_force.]" class="glossaryLink">Coriolis force is a deflecting force. It acts only on objects already in motion. Therefore it cannot create wind, but it can change the wind direction by deflecting it. The American Meteorological Society, 298 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL cited 2020: Coriolis Force. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Coriolis_force.]" class="glossaryLink">Coriolis force acts perpendicular to the direction of motion, but whether the American Meteorological Society, cited 2020: Coriolis Force. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Coriolis_force.]" class="glossaryLink">Coriolis force acts 90° to the right or left of the motion vector depends on the hemisphere on Earth. In the Northern Hemisphere, the American Meteorological Society, cited 2020: Coriolis Force. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Coriolis_force.]" class="glossaryLink">Coriolis force acts 90° to the right of the motion vector while in the Southern Hemisphere, the force acts 90° to the left of the motion vector. The equation below gives the American Meteorological Society, cited 2020: Coriolis Force. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Coriolis_force.]" class="glossaryLink">Coriolis force where m is for the mass of the object in kg, u is the speed of the object in m s-1, the symbol Φ denotes latitude in degrees, and the angular rotation rate, Ω, is found from the rotation rate of Earth. Earth turns 2*pi radians over 24 hrs, so 2*pi/24 hrs gives Ω = 7.27E-5 radians·s–1. Based on this, we can see that the Coriolis parameter will be 0 at the equator when sin(0)=0 and maximized at the poles when sin(90)=1. We can also see that the American Meteorological Society, cited 2020: Coriolis Force. Glossary of Meteorology. [Available ATMO 200 • 299 online at http://glossary.ametsoc.org/wiki/Coriolis_force.]" class="glossaryLink">Coriolis force is strongly dependent on the speed of the object. If we assume the “object” is actually wind, stronger winds will be more strongly deflected by the American Meteorological Society, cited 2020: Coriolis Force. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Coriolis_force.]" class="glossaryLink">Coriolis force. Turbulent Drag American Meteorological Society, cited 2020: Turbulent Drag. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Drag_law.]" class="glossaryLink">Turbulent drag occurs when Earth’s surface or objects on it cause resistance to airflow and reduce the wind speed. Any object on Earth’s surface can cause drag, such as grass, trees, and buildings, which block and decelerate wind. The bottom layer of the troposphere around 0.3 to 3 km thick is called the American Meteorological Society, cited 2019: Atmospheric boundary layer. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Atmospheric_boundary_layer.]" class="glossaryLink">atmospheric boundary layer (ABL). Turbulence in the ABL mixes the extremely slow movement of air near the surface with the faster movement of air in the ABL and slows the wind speed in the entire ABL. 300 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Force Balances The five forces from above affect aspects of horizontal wind speed and direction, and result in a number of common force balances found throughout Earth’s atmosphere. Geostrophic Balance American Meteorological Society, cited 2020: Geostrophic Balance. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Geostrophic_balance.]" class="glossaryLink">Geostrophic balance is arguably the most important force balance in the atmosphere and holds nearly all the time, except for a few specific cases scenarios to be discussed later. When in American Meteorological Society, cited 2020: Geostrophic Balance. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Geostrophic_balance.]" class="glossaryLink">geostrophic balance, wind in the atmosphere has a balance between the American Meteorological Society, cited 2020: Pressure Gradient Force. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Pressure-gradient_force.]" class="glossaryLink">pressure gradient force and the American Meteorological Society, cited 2020: Coriolis Force. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Coriolis_force.]" class="glossaryLink">Coriolis force. In American Meteorological Society, cited 2020: Geostrophic Balance. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Geostrophic_balance.]" class="glossaryLink">geostrophic balance, PGF = CF. The ATMO 200 • 301 resulting wind is called a geostrophic wind. Setting the equation for CF and PGF equal to each other and solving for u gives the following equation for Ugeos. Because geostrophic winds are dependent on the pressure gradient, geostrophic winds are faster when American Meteorological Society, cited 2020: Isobars. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Isobars.]" class="glossaryLink">isobars are closely spaced. A number of assumptions are implicit to American Meteorological Society, cited 2020: Geostrophic Balance. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Geostrophic_balance.]" class="glossaryLink">geostrophic balance. American Meteorological Society, cited 2020: Geostrophic Balance. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Geostrophic_balance.]" class="glossaryLink">Geostrophic balance applies only under the following conditions: large temporal (>12 hrs) and large spatial (> a few km) scales; above the ABL when no surface friction is acting on the air; winds are steadily moving in a straight direction (no acceleration, negligible vertical velocity); finally, because the American Meteorological Society, cited 2020: Coriolis Force. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Coriolis_force.]" 302 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL class="glossaryLink">Coriolis force is important for the balance, it cannot hold at the equator when the CF is 0. The typical bounds are often given as >2° latitude. The path of the geostrophic wind is parallel to the American Meteorological Society, cited 2020: Isobars. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Isobars.]" class="glossaryLink">isobars. In the Northern Hemisphere, the wind direction is parallel to the straight American Meteorological Society, cited 2020: Isobars. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Isobars.]" class="glossaryLink">isobars with the low pressure to the left side of wind. In the Southern Hemisphere, the direction is parallel to the straight American Meteorological Society, cited 2020: Isobars. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Isobars.]" class="glossaryLink">isobars with the low pressure to the wind’s right. The image below shows the force balance present in a geostrophic wind in the northern hemisphere. ATMO 200 • 303 Geostrophic wind force diagram in the northern hemisphere (Image Created by Shintaro Russell via Paint.net). To get into American Meteorological Society, cited 2020: Geostrophic Balance. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Geostrophic_balance.]" class="glossaryLink">geostrophic balance, moving air will undergo American Meteorological Society, cited 2020: Geostrophic Adjustment. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Geostrophic_adjustment.]" class="glossaryLink">geostrophic adjustment. First, air feels the pressure field (PGF) and begins moving from high to low pressure. Next, the American Meteorological Society, cited 2020: Coriolis Force. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Coriolis_force.]" class="glossaryLink">Coriolis force (CF) deflects the object’s direction once it is in motion. Finally, the air finds itself in a balance between the PGF and the CF moving parallel to the 304 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL American Meteorological Society, cited 2020: Isobars. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Isobars.]" class="glossaryLink">isobars instead of across them. Gradient Wind This next force balance applies when air is not moving in a straight line. Gradient winds are winds flowing along curved American Meteorological Society, cited 2020: Isobars. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Isobars.]" class="glossaryLink">isobars. Winds typically blow along American Meteorological Society, cited 2020: Isobars. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Isobars.]" class="glossaryLink">isobars, even if they are curved, but a different name is needed because the force balance includes one more component. Compared to geostrophic winds, gradient winds feature a balance between the American Meteorological Society, cited 2020: Coriolis Force. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Coriolis_force.]" class="glossaryLink">Coriolis force, the American Meteorological Society, cited 2020: Pressure Gradient Force. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Pressure-gradient_force.]" class="glossaryLink">pressure gradient force, and the American Meteorological Society, cited 2020: Centrifugal Force. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Centrifugal_force.]" class="glossaryLink">centrifugal force. The American Meteorological Society, cited 2020: ATMO 200 • 305 Centrifugal Force. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Centrifugal_force.]" class="glossaryLink">centrifugal force arises because the air is flowing on a curved path. The American Meteorological Society, cited 2020: Centrifugal Force. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Centrifugal_force.]" class="glossaryLink">centrifugal force acts in the same direction as the American Meteorological Society, cited 2020: Coriolis Force. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Coriolis_force.]" class="glossaryLink">coriolis force, opposite the American Meteorological Society, cited 2020: Pressure Gradient Force. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Pressure-gradient_force.]" class="glossaryLink">pressure gradient force. Gradient wind force diagram (Image Created by Shintaro Russell via Paint.net). 306 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Atmospheric Boundary Layer Balanced wind in the American Meteorological Society, cited 2019: Atmospheric boundary layer. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Atmospheric_boundary_layer.]" class="glossaryLink">atmospheric boundary layer (ABL) occurs when there is a balance between the American Meteorological Society, cited 2020: Pressure Gradient Force. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Pressure-gradient_force.]" class="glossaryLink">pressure gradient force, American Meteorological Society, cited 2020: Coriolis Force. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Coriolis_force.]" class="glossaryLink">Coriolis force, and the frictional drag force. Both American Meteorological Society, cited 2020: Wind Shear. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Wind_shear.]" class="glossaryLink">wind shear turbulence and convective turbulence cause drag, which results in the ABL wind being slower than geostrophic (subgeostrophic), and causes the wind to cross American Meteorological Society, cited 2020: Isobars. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Isobars.]" class="glossaryLink">isobars toward the low pressure. ATMO 200 • 307 Atmospheric boundary layer wind force diagram (Image created by Shintaro Russell via Paint.net). Again, the frictional drag force acts in the plane of motion and slows down the wind speed. The American Meteorological Society, cited 2020: Pressure Gradient Force. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Pressure-gradient_force.]" class="glossaryLink">pressure gradient force doesn’t change, but because the wind speed is slower, the American Meteorological Society, cited 2020: Coriolis Force. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Coriolis_force.]" class="glossaryLink">Coriolis force is weaker. When that happens the wind cannot balance the American Meteorological Society, cited 2020: Pressure Gradient Force. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Pressure-gradient_force.]" class="glossaryLink">pressure gradient force, it is pulled more by the American Meteorological Society, cited 2020: Pressure Gradient Force. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ 308 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL wiki/Pressure-gradient_force.]" class="glossaryLink">pressure gradient force, and turns toward the low pressure. Cyclostrophic Wind American Meteorological Society, cited 2020: Cyclostrophic wind. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Cyclostrophic_wind.]" class="glossaryLink">Cyclostrophic wind occurs at smaller cyclonic scales (at the mesoscale) such as tornadoes, waterspouts, and even the center of a tropical cyclone. Because the scale is small, the American Meteorological Society, cited 2020: Coriolis Force. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Coriolis_force.]" class="glossaryLink">Coriolis force does not play a role. When a small cyclonic scale such as a tornado first forms, both tangential winds and American Meteorological Society, cited 2020: Centrifugal Force. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Centrifugal_force.]" class="glossaryLink">centrifugal force increase much faster than the American Meteorological Society, cited 2020: Coriolis Force. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Coriolis_force.]" class="glossaryLink">Coriolis force due to the very strong American Meteorological Society, cited 2020: Pressure Gradient Force. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Pressure-gradient_force.]" class="glossaryLink">pressure gradient force. As a result, American Meteorological Society, cited 2020: Centrifugal Force. Glossary of Meteorology. [Available online at ATMO 200 • 309 http://glossary.ametsoc.org/wiki/Centrifugal_force.]" class="glossaryLink">centrifugal force balances with the American Meteorological Society, cited 2020: Pressure Gradient Force. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Pressure-gradient_force.]" class="glossaryLink">pressure gradient force, ignoring the negligible effects of American Meteorological Society, cited 2020: Coriolis Force. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Coriolis_force.]" class="glossaryLink">Coriolis force. Because the scale is small and independent of the American Meteorological Society, cited 2020: Coriolis Force. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Coriolis_force.]" class="glossaryLink">Coriolis force, the direction of cyclostrophic winds can be either clockwise or counterclockwise in both hemispheres. For anticyclones or highs, however, they do not typically have strong pressure gradients. Thus, winds around the high are too weak to be in cyclostrophic balance. 310 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Cyclostrophic wind force diagram where the pressure gradient force is balanced by the centrifugal force (Image Created by Shintaro Russell via Paint.net). All of the wind balances discussed (American Meteorological Society, cited 2020: Geostrophic Balance. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Geostrophic_balance.]" class="glossaryLink">geostrophic balance, gradient wind, ABL wind, and American Meteorological Society, cited 2020: Cyclostrophic wind. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Cyclostrophic_wind.]" class="glossaryLink">cyclostrophic wind) occur in Earth’s atmosphere under differing conditions. The following chapters will make these applications clearer and you can check back here for reference. ATMO 200 • 311 Chapter 10: Questions to Consider 1. Explain why wind occurs. 2. What are u, v, and w? 3. Which forces influence the direction and speed of horizontal winds? 4. An interactive or media element has been excluded from this version of the text. You can view it online here: http://pressbooks-dev.oer.hawaii.edu/ atmo/?p=341 5. Drag the terms to their correct position: An interactive or media element has been excluded from this version of the text. You can view it online here: http://pressbooks-dev.oer.hawaii.edu/ atmo/?p=341 Selected Practice Question Answers: An interactive or media element has been excluded from this version of the text. You can view it online here: 312 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL http://pressbooks-dev.oer.hawaii.edu/ atmo/?p=341 Chapter 11: General Circulation ALISON NUGENT AND DAVID DECOU Learning Objectives By the end of this chapter, you should be able to: 1. Describe the differential heating Earth experiences, and how heat is redistributed 2. Diagram vertical atmospheric circulations (American Meteorological Society, cited 2020: Hadley Cell. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Hadley_cell.]" class="glossaryLink">Hadley cell, 313 314 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL American Meteorological Society, cited 2020: Ferrel cell. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Ferrel_cell.]" class="glossaryLink">Ferrel cell, American Meteorological Society, cited 2020: Polar Cell. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Polar_cell.]" class="glossaryLink">Polar cell) 3. Diagram surface wind directions (American Meteorological Society, cited 2020: Trade Winds. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Trade_winds.]" class="glossaryLink">trade winds, belt of American Meteorological Society, cited 2020: Westerlies. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Westerlies.]" class="glossaryLink">westerlies, etc.) 4. Discuss the distribution of heat over Earth’s surface and how it drives global circulation, including its connection to the American Meteorological Society, cited 2020: Coriolis Force. Glossary of ATMO 200 • 315 Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Coriolis_force.]" class="glossaryLink">Coriolis force Introduction The focus of this chapter is on the typical wind circulations found on Earth as a result of the forces affecting wind in the atmosphere, as introduced in Chapter 10. The average global winds are called the general circulation of the atmosphere. To find typical wind circulations, one needs to average wind speed and duration over a long period of time. Averaging over time removes short duration fluctuations, allowing the primary sense of movement to be visualized. The reason we have global wind patterns is ultimately due to a differentially heated, rotating Earth. The differential heating of Earth continually causes an imbalance in air pressure and temperature around the world, which in turn causes a continuous general circulation of winds that attempt to restore balance. While actual winds in a given place and time may differ from the average general circulation, the average can provide an explanation for how and why the winds prevail from a particular direction in a certain place. For example, the prevailing surface winds tend to be westerly in the continental United States, but northeasterly in Hawai’i. The general circulation also serves as 316 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL a model for how heat and momentum are transported from the equator to the poles. Differential Heating Because the Earth is round, solar American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Radiation.]" class="glossaryLink">radiation is not equally spread at all latitudes. Near the equator where sunlight shines directly on Earth, more solar American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Radiation.]" class="glossaryLink">radiation per square meter is received as compared to near the poles where sunlight shines at sharp angles to the surface (see image below). Toward Earth’s poles, the same solar American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Radiation.]" class="glossaryLink">radiation is spread over a larger surface area such that each square meter of Earth’s surface gets less American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Radiation.]" class="glossaryLink">radiation at the poles. As Earth rotates, the incoming solar American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Radiation.]" ATMO 200 • 317 class="glossaryLink">radiation is zonally spread along latitude lines. Earth’s uneven heating by the sun due to the curvature of its surface NASA (Public Domain). In this way, incoming solar American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Radiation.]" class="glossaryLink">radiation depends on latitude. The sun shines more directly on tropical regions at lower latitudes than at higher latitudes all year-round. Solar American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Radiation.]" class="glossaryLink">radiation adds heat to the Earth-atmosphere-ocean system, and thus lower latitudes get heated more than higher latitudes. This should be as expected because we know the tropics are warmer than the polar regions. While Earth is continually heated by the sun, it is also continually losing American Meteorological Society, cited 2019: Energy. Glossary of Meteorology. [Available online at 318 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL http://glossary.ametsoc.org/wiki/Energy.]" class="glossaryLink">energy by emitting outgoing longwave infrared (IR) American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Radiation.]" class="glossaryLink">radiation at all latitudes, and at all times, both on the light and the dark side of the globe. You’ll recall from Chapter 2 that IR American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Radiation.]" class="glossaryLink">radiation is emitted by Earth according to the Stefan-Boltzman law, which is highly dependent on temperature. When averaged over the globe and over long time scales, incoming UV American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Radiation.]" class="glossaryLink">radiation exactly balances outgoing IR American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Radiation.]" class="glossaryLink">radiation. But, latitude by latitude, incoming UV and outgoing do not perfectly balance. More solar American Meteorological Society, cited 2019: Energy. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Energy.]" class="glossaryLink">energy is received by the Earth in the tropics, and while the cooling by outgoing IR American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at ATMO 200 • 319 http://glossary.ametsoc.org/wiki/Radiation.]" class="glossaryLink">radiation helps to offset this, there is still a net gain of radiative American Meteorological Society, cited 2019: Energy. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Energy.]" class="glossaryLink">energy in the tropics. However, near Earth’s poles, incoming solar American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Radiation.]" class="glossaryLink">radiation is less direct and too weak to offset the cooling by outgoing IR American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Radiation.]" class="glossaryLink">radiation, so there is net cooling at the poles. This causes warmer air at the equator, and cold air at the poles and drives Earth’s atmospheric general circulation. 320 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Incoming solar radiation (yellow dashed) and outgoing infrared radiation (red solid) diagram (CC BY-NC-SA 4.0). The above image illustrates this more directly. Incoming solar American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Radiation.]" class="glossaryLink">radiation is focused near the equator, while outgoing IR American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Radiation.]" class="glossaryLink">radiation is relatively evenly spread across all latitudes. This results in the below American Meteorological Society, cited 2019: Energy. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Energy.]" class="glossaryLink">energy surplus near the equator and deficit toward the poles. ATMO 200 • 321 Heat transport balances the net radiative imbalances (CC BY-NC-SA 4.0). Earth’s general circulation attempts to redistribute heat around the globe and rebalance the American Meteorological Society, cited 2019: Energy. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Energy.]" class="glossaryLink">energy imbalances inherent in an unevenly heated, rotating planet. However, the general circulation cannot instantly balance global temperature, especially when the uneven heating is continuous. Therefore, a meridional temperature gradient always remains. In an attempt to balance out Earth’s incoming and outgoing American Meteorological Society, cited 2019: Energy. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Energy.]" class="glossaryLink">energy, warm air is 322 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL transported toward the poles, while cool air flows back toward the equator. This seems simple enough. However, this seemingly simple flow is complicated by many factors, including Earth’s rotation, the position of continents, interactions with the oceans and many others. In order to build an understanding of this process, we’ll start with some simplified models and build complexity. Single-Cell Model The first model we’ll examine is the single-cell model. With this model, we make the following assumptions. 1. The earth is entirely covered with water. This is to remove any land-sea interactions. 2. There are no seasons and the sun is always shining directly over the equator. This removes seasonal wind shifts. 3. There is no American Meteorological Society, cited 2020: Coriolis Force. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Coriolis_force.]" class="glossaryLink">Coriolis force. While the Earth rotates to spread heat along latitudinal lines, this allows us to only be concerned with the American Meteorological Society, cited 2020: Pressure Gradient Force. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Pressuregradient_force.]" class="glossaryLink">pressure ATMO 200 • 323 gradient force. With these assumptions in place, Earth’s global circulation would like the figure below, with one giant vertically overturning cell in each hemisphere. The excess heating at the equator is transported poleward by rising warm air, which is replaced by cold sinking polar air moving equatorward. This circulation is known as the American Meteorological Society, cited 2020: Hadley Cell. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Hadley_cell.]" class="glossaryLink">Hadley cell. The American Meteorological Society, cited 2020: Hadley Cell. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Hadley_cell.]" class="glossaryLink">Hadley cell is known as a thermally direct circulation because in it, warm air is rising and cold air is sinking. 324 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL The single-cell model of Hadley cells on a planet (CC BY-SA 4.0). The circulation can be thought of in two ways. In the first, hot air at the equator rises because it is warm and buoyant. It reaches the tropopause, spreading laterally north and south at high elevations. To compensate for the rising air, surface air flows toward the equator, resulting in convergence and further uplift. Continuity of this circulation results in a global circulation with rising air at the equator and sinking air at the poles. A second way to view global circulation is that the excess heating of air at the equator creates a large area of low pressure at the surface of the planet, while excess cooling at the poles creates high pressure at the surface. This global horizontal ATMO 200 • 325 pressure gradient causes air to flow from high to low at the surface (pole to equator), where the air subsequently rises at the equator and flows back to the poles and sinks. Both reasonings are plausible, its a matter of whether you focus on temperature or pressure. The temperature differences and the resulting pressure differences are intertwined and both important for the general circulation. While this single-cell model can explain some phenomenon and works in some ways (and on some planetary bodies), it is not the reality on Earth. Earth is a rotating planet, so we need to consider the American Meteorological Society, cited 2020: Coriolis Force. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Coriolis_force.]" class="glossaryLink">Coriolis force in addition to the American Meteorological Society, cited 2020: Pressure Gradient Force. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Pressure-gradient_force.]" class="glossaryLink">pressure gradient force. In the single-cell model, as upper level air flows from the equator toward the poles, it would be deflected by the American Meteorological Society, cited 2020: Coriolis Force. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Coriolis_force.]" class="glossaryLink">Coriolis force. In the northern hemisphere, for example, this deflection would be toward the right resulting in a wind from west to east at upper levels. In this way, the air moving from the equator to the poles would never make it there because of the rotation of Earth. A different model is needed. 326 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Three-Cell Model If we allow for the effects of a rotating planet, the simple singlecell model above breaks down into multiple cells in each hemisphere as shown in the figure below. It may look more complex and unrelated to the single-cell model, but there are many similarities from above. There is still excess heating in equatorial regions and excess cooling in polar regions. Instead of heat being redistributed by one massive American Meteorological Society, cited 2020: Hadley Cell. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Hadley_cell.]" class="glossaryLink">Hadley cell from the equator to the poles, there are now three convective cells. The first of these is still the same thermally direct American Meteorological Society, cited 2020: Hadley Cell. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Hadley_cell.]" class="glossaryLink">Hadley cell from before, but now it extends only from the equator to about 30° latitude. The poles still have a large high pressure system, while the equator has a large belt of low pressure along it. Let’s take a closer look at what happens to the rising air just above the equator. ATMO 200 • 327 Three-cell model of the rotating Earth and the resulting wind circulations (CC BY-SA 4.0). At the equator, the air near the surface is warm, winds are light, and the pressure gradient is weak. This region of monotonous American Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Weather.]" class="glossaryLink">weather is known as the American Meteorological Society, cited 2020: Doldrums. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Doldrums.]" class="glossaryLink">doldrums. The warm air here rises, condensing into massive cumulonimbus clouds and 328 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL thunderstorms, which release large amounts of American Meteorological Society, cited 2019: Latent heat. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Latent_heat.]" class="glossaryLink">latent heat as they form. The additional heat makes the air even more likely to rise, and provides the American Meteorological Society, cited 2019: Energy. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Energy.]" class="glossaryLink">energy that drives the rising branch of the American Meteorological Society, cited 2020: Hadley Cell. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Hadley_cell.]" class="glossaryLink">Hadley cell. This rising air reaches the stable tropopause, which blocks it from rising further, causing the air to diverge at upper levels and move poleward. Due to the American Meteorological Society, cited 2020: Coriolis Force. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Coriolis_force.]" class="glossaryLink">Coriolis force, this upper level poleward flow is deflected to the right in the Northern Hemisphere and to the left in the Southern Hemisphere, providing American Meteorological Society, cited 2020: Westerlies. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Westerlies.]" class="glossaryLink">westerlies aloft (near the tropopause) in both hemispheres in the American Meteorological Society, cited 2020: Hadley Cell. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Hadley_cell.]" class="glossaryLink">Hadley cell. As air moves poleward from equatorial regions, it is constantly ATMO 200 • 329 experiencing radiational cooling as it emits infrared American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Radiation.]" class="glossaryLink">radiation. Simultaneously, this air begins to converge and pile up as it approaches the mid-latitudes (around 30° latitude in both hemispheres). This convergence of air far above the surface increases the mass of air aloft, increasing the pressure at the surface. This increase in surface pressure results in a belt of high pressure centers called American Meteorological Society, cited 2020: Subtropical Highs. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Subtropical_high.]" class="glossaryLink">subtropical highs around 30°N and 30°S. These latitudes are commonly known as the horse latitudes. As this converging air above the American Meteorological Society, cited 2020: Subtropical Highs. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Subtropical_high.]" class="glossaryLink">subtropical highs slowly descends, it warms adiabatically by compression. This sinking air, dries the atmosphere creating generally clear skies and little rain. Over the oceans, weak pressure gradients in the high centers produce weak winds. Some of these lighter surface winds begin to move back toward the equator, and are deflected by the American Meteorological Society, cited 2020: Coriolis Force. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Coriolis_force.]" class="glossaryLink">Coriolis force. This causes northeasterly winds in the Northern Hemisphere and southeasterly winds in 330 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL the Southern Hemisphere in tropical regions. These winds are known as the American Meteorological Society, cited 2020: Trade Winds. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Trade_winds.]" class="glossaryLink">trade winds, and they have a strong influence over the daily wind patterns in Hawai’i. Near the equator, the northeasterly and southeasterly American Meteorological Society, cited 2020: Trade Winds. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Trade_winds.]" class="glossaryLink">trade winds converge at the surface at what is known as the American Meteorological Society, cited 2020: Intertropical Convergence Zone. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Intertropical_convergence_zone.]" class="glossaryLink">intertropical convergence zone (ITCZ). Here, convergence further reinforces the rising branch of the American Meteorological Society, cited 2020: Hadley Cell. Glossary of Meteorology. [Available http://glossary.ametsoc.org/wiki/Hadley_cell.]" class="glossaryLink">Hadley cell. online at Back at 30° latitude, while some of the air sinking along the American Meteorological Society, cited 2020: Subtropical Highs. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Subtropical_high.]" class="glossaryLink">subtropical highs goes equatorward to complete the American Meteorological Society, cited 2020: Hadley Cell. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Hadley_cell.]" ATMO 200 • 331 class="glossaryLink">Hadley cell, some sinking air also moves poleward. This poleward moving surface air travels from from 30° to 60° and is again deflected by the American Meteorological Society, cited 2020: Coriolis Force. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Coriolis_force.]" class="glossaryLink">Coriolis force. This results in the prevailing surface American Meteorological Society, cited 2020: Westerlies. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Westerlies.]" class="glossaryLink">westerlies that impact the mid-latitudes in both hemispheres. It is for this reason that American Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Weather.]" class="glossaryLink">weather moves west to east across the continental US. Often, this westerly flow is interrupted by high and low pressure systems that move with the mean surface flow. We’ll learn more about this in the next two chapters. As the surface air travels poleward from 30° to 60°, it collides with cold polar air moving equatorward. These air masses do not mix easily, and are separated by a boundary known as the American Meteorological Society, cited 2020: Polar Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Polar_front.]" class="glossaryLink">polar front. At the American Meteorological Society, cited 2020: Polar Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Polar_front.]" class="glossaryLink">polar front, surface air converges and rises at the American Meteorological Society, cited 2020: Subpolar Low. Glossary of Meteorology. 332 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL [Available online at http://glossary.ametsoc.org/wiki/ Subpolar_low_pressure_belt]" class="glossaryLink">subpolar low, and storms and convection develop here. Some of this rising air goes all the way up to the tropopause where it moves back to 30° latitude and sinks at the subtropical high along with the descending branch of the American Meteorological Society, cited 2020: Hadley Cell. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Hadley_cell.]" class="glossaryLink">Hadley cell. This circulation cell from 30° to 60° is known as the American Meteorological Society, cited 2020: Ferrel cell. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Ferrel_cell.]" class="glossaryLink">Ferrel cell, which is a thermally indirect circulation in which cool air rises and warm air sinks. Behind the American Meteorological Society, cited 2020: Polar Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Polar_front.]" class="glossaryLink">polar front in the Northern hemisphere, cold surface polar air moves from the poles toward 60°. As the air moves equatorward, it is again deflected by the American Meteorological Society, cited 2020: Coriolis Force. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Coriolis_force.]" class="glossaryLink">Coriolis force. In the Arctic regions, air typically flows from the northeast while in the Antarctic, air flows from the southeast. These are known as the polar easterlies. Along the American Meteorological Society, cited 2020: Polar Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ ATMO 200 • 333 Polar_front.]" class="glossaryLink">polar front where cold polar air collides with warm air from the American Meteorological Society, cited 2020: Ferrel cell. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Ferrel_cell.]" class="glossaryLink">Ferrel cell, some of the rising air moves back toward the poles, which gets deflected as a westerly wind aloft. Eventually this air reaches the poles, sinks back to the surface, and flows back toward the American Meteorological Society, cited 2020: Polar Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Polar_front.]" class="glossaryLink">polar front, which gives us the American Meteorological Society, cited 2020: Polar Cell. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Polar_cell.]" class="glossaryLink">Polar cell. To summarize, looking back at the three-cell model picture: there are two major belts of high pressure and two major belts of low pressure in each hemisphere (if you include the equator in both). Areas of high pressure and sinking air exist near 30° latitude and at the poles. Regions of low pressure and rising air exist over the equator and near 60° latitude by the American Meteorological Society, cited 2020: Polar Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Polar_front.]" class="glossaryLink">polar front. By knowing that winds travel counterclockwise (clockwise) around low pressure systems in the Northern Hemisphere (Southern Hemisphere), and clockwise (counterclockwise) around high pressure systems in the Northern Hemisphere (Southern Hemisphere), you can get a pretty general idea of how surface 334 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL winds blow around the world on average. American Meteorological Society, cited 2020: Trade Winds. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Trade_winds.]" class="glossaryLink">Trade winds blow from the American Meteorological Society, cited 2020: Subtropical Highs. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Subtropical_high.]" class="glossaryLink">subtropical highs at 30° to the equator, the American Meteorological Society, cited 2020: Westerlies. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Westerlies.]" class="glossaryLink">westerlies blow from the American Meteorological Society, cited 2020: Subtropical Highs. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Subtropical_high.]" class="glossaryLink">subtropical highs to the American Meteorological Society, cited 2020: Polar Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Polar_front.]" class="glossaryLink">polar front, and the polar easterlies blow from the poles to the American Meteorological Society, cited 2020: Polar Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Polar_front.]" class="glossaryLink">polar front at the surface. Areas where these winds converge will have rising motion and low pressure at the surface, and regions where these winds diverge will have sinking motion and high pressure at the surface. How does this three-cell model match with reality? While some minor discrepancies exist, for example in reality much of the upper-level winds in the mid-latitudes are westerly like the ATMO 200 • 335 surface, while the American Meteorological Society, cited 2020: Ferrel cell. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Ferrel_cell.]" class="glossaryLink">Ferrel cell suggests there should be easterly winds aloft. However, this model is roughly accurate for surface winds and provides a really good first order pattern for general circulation. Average near surface winds (CC BY-NC-SA 4.0). How does the real world’s average surface sea level pressure 336 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL field compare with the above picture? When we add in the continents, ice masses, oceans, mountains, and forest, we get an average that looks something like the below two figures. The following maps show the mean sea-level pressure field for January and July, averaged from 1981 to 2010. Looking at the two maps below, you may notice that there are some areas where low and high pressure systems seem to persist throughout the year – these are known as semipermanent highs and semipermanent lows. These include the Bermuda-Azores High, the Pacific High, the Icelandic Low, and the Aleutian Low. Map of semipermanent highs and lows during the month of January (CC BY-NC-SA 4.0). ATMO 200 • 337 Map of semipermanent highs and lows during the month of July (CC BY-NC-SA 4.0). Global Surface Winds The following graphic nicely illustrates all of the above phenomenon for global surface winds. The polar easterlies, midlatitude American Meteorological Society, cited 2020: Westerlies. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Westerlies.]" class="glossaryLink">westerlies, and tropical American Meteorological Society, cited 2020: Trade Winds. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Trade_winds.]" class="glossaryLink">trade winds are all visible. Now with the continents and land masses added, we are able to see where on Earth these surface winds are observed. 338 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Circulation of Earth’s atmosphere (CC BY-SA 3.0). Jet streams There is one final important piece of general circulation that deserves a discussion, and that is jet streams. In the below image you can see two jet streams: the subtropical jet and the polar jet. The figure shows the average position of the jet streams in the Northern Hemisphere in the winter, as well as their relation to the tropopause. The figure shows jet streams flowing from west to east. We can see that there are two jets located right under the tropopause. The subtropical American Meteorological Society, cited 2020: Jet Steam. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Jet_stream.]" ATMO 200 • 339 class="glossaryLink">jet stream is located near 30° latitude about 13 km up, above the tropical high. The American Meteorological Society, cited 2020: Polar Jet Stream. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Polar-front_jet_stream.]" class="glossaryLink">polar jet stream is located near the American Meteorological Society, cited 2020: Polar Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Polar_front.]" class="glossaryLink">polar front about 10 km up, near 50° to 60° latitude. The difference in height of these jets is due to their location at the tropopause, and the fact that the tropopause is found higher in tropical regions than in polar regions due to average layer temperature differences of the troposphere underneath. The troposphere is thinner in polar regions than in tropical regions due to colder, denser air at the poles. Cross-section of the northern hemisphere circulation, and the positions of the polar and subtropical jet streams (Public Domain). If the general circulation of the atmosphere is like a giant meandering river of air around the globe, then jet streams are swiftly flowing currents within that river. Jet streams are 340 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL thousands of kilometers in length, and hundreds of kilometers in width. In the core of a American Meteorological Society, cited 2020: Jet Steam. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Jet_stream.]" class="glossaryLink">jet stream (called a jet streak), wind speeds are often higher than 100 knots and are occasionally higher than 200 knots. The polar jet can sometimes merge with the subtropical jet if it sweeps southward enough, and it occasionally splits into two jet streams. ATMO 200 • 341 The position of the polar jet stream and the subtropical jet stream (CC BY-NC-SA 4.0). The existence of jet streams is ultimately due to the American Meteorological Society, cited 2019: Energy. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Energy.]" class="glossaryLink">energy imbalance between tropical and polar regions. How exactly do they form? As mentioned before, the American Meteorological Society, cited 2020: Polar Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ 342 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Polar_front.]" class="glossaryLink">polar front is a boundary between colder polar air and warmer subtropical air. Because of this, the strongest temperature gradient occurs along the polar frontal zone. This rapid change of temperature with distance also causes a rapid pressure change, due to the thermal wind effect (a vertical shear in the geostrophic wind caused by a horizontal temperature gradient). This strong pressure gradient across the American Meteorological Society, cited 2020: Polar Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Polar_front.]" class="glossaryLink">polar front causes intense wind speeds that become the American Meteorological Society, cited 2020: Jet Steam. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Jet_stream.]" class="glossaryLink">jet stream. The temperature contrast between north and south along the American Meteorological Society, cited 2020: Polar Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Polar_front.]" class="glossaryLink">polar front is more intense during the winter than during the summer, so the polar jet is also stronger during the winter. During winter, the leading edge of the cold polar air pushes further south into subtropical areas. During the summer, the American Meteorological Society, cited 2020: Polar Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Polar_front.]" class="glossaryLink">polar front retreats into higher latitudes and is weakened. The subtropical American Meteorological Society, cited 2020: Jet Steam. Glossary of Meteorology. [Available online at ATMO 200 • 343 http://glossary.ametsoc.org/wiki/Jet_stream.]" class="glossaryLink">jet stream tends to form just above the descending branch of the American Meteorological Society, cited 2020: Hadley Cell. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Hadley_cell.]" class="glossaryLink">Hadley cell, at about 12 km altitude. Here, a boundary exists between warmer equatorial air and cooler air that has been cycled up and around the American Meteorological Society, cited 2020: Ferrel cell. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Ferrel_cell.]" class="glossaryLink">Ferrel cell from the American Meteorological Society, cited 2020: Polar Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Polar_front.]" class="glossaryLink">polar front. This is sometimes referred to as the subtropical American Meteorological Society, cited 2020: Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Front.]" class="glossaryLink">front, but it does not extend all the way to the surface. Here, the temperature gradient is strongest aloft near the tropopause, which induces a sharp pressure gradient and strong winds aloft as well. One final thought for Chapter 11: isn’t it fascinating that all of these global winds are caused by differential heating and the rotation of Earth? Everything is connected in one way or another and fits together like a puzzle. 344 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Chapter 11: Questions to Consider 1. An interactive or media element has been excluded from this version of the text. You can view it online here: http://pressbooks-dev.oer.hawaii.edu/ atmo/?p=856 2. What assumptions are made for a single-cell model of Earth’s atmosphere? 3. Drag the terms to their correct position: An interactive or media element has been excluded from this version of the text. You can view it online here: http://pressbooks-dev.oer.hawaii.edu/ atmo/?p=856 4. Where are jet streams located? Why do they differ in height? Selected Practice Question Answers: An interactive or media element has been excluded from this version of the text. You can view it online here: ATMO 200 • 345 http://pressbooks-dev.oer.hawaii.edu/ atmo/?p=856 Chapter 12: Fronts and Airmasses ALISON NUGENT AND SHINTARO RUSSELL Learning Objectives By the end of this chapter, you should be able to: 1. Describe what an “air mass” is and how it forms 2. Name some of the main types of air masses 3. Draw a vertical cross-section schematic of a warm and cold American Meteorological Society, cited 2020: Front. Glossary of Meteorology. 346 ATMO 200 • 347 [Available online at http://glossary.ametsoc.org/wiki/Front.]" class="glossaryLink">front 4. Recognize the symbols for warm, cold, and occluded fronts 5. Discuss the types of cloud patterns associated with warm and cold fronts 6. Explain how differences in temperature (warm or cold fronts) or differences in humidity (dry lines) are important to American Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Weather.]" class="glossaryLink">weather Introduction We’ve already learned that areas of low and high pressure can be identified based on the American Meteorological Society, cited 2020: Isobars. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Isobars.]" class="glossaryLink">isobars on a American Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Weather.]" class="glossaryLink">weather map. We’ve also learned that some regions on Earth typically have low pressure and while 348 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL others typically have high pressure. In this chapter we’ll learn that some regions of the atmosphere have similar air properties and are named by those properties as a collective mass of air or “air mass”. High pressure systems, especially, are very common air masses. Air Masses An air mass is an extensive body of air featuring generally similar temperature and moisture characteristics. They can extend thousands of square kilometers. Air mass are identified based on their temperature and humidity characteristics as well as their geographical region of origin. For example, if an air mass is dry and warm and originated from the tropical region over a continent, it would be called a continental Tropical (cT) air mass. If an air mass is humid and cold and originated over the ocean in the high latitudes, it would be called a maritime Polar (mP) air mass. The air mass name will always begin with a lower-case letter signifying either continental (c) or maritime (m) and a second capital letter signifying Equatorial (E), Tropical (T), Polar (P), Arctic (A), or Antarctic (AA). Maritime air masses are humid air masses originating from oceans or large bodies of water. Continental air masses are dry air masses originating from land. Equatorial air masses are warm moist air masses originating from the equatorial region. Tropical air masses are warm air masses originating from the lower latitudes. Polar air masses are cold air masses originating from the upper latitudes. Arctic air masses are composed of extremely cold air that originated from the poles. Arctic air masses are even ATMO 200 • 349 colder and drier than Polar air masses, and Antarctic air masses are even more extreme than Arctic air masses. The common types of air masses are maritime Tropical (mT), maritime Polar (mP), continental Polar (cP), continental Tropical (cT), and continental Arctic (cA). • Maritime Tropical (mT) air masses are warm, humid air masses originating from the oceans in the tropics. • Maritime Polar (mP) air masses are cold, humid air masses originating from the oceans in the polar latitudes. • Continental Polar (cP) air masses are cold, dry air masses originating from land regions in the polar latitudes. • Continental Tropical (cT) air masses are hot, dry air masses originating from land in the tropics. • Continental Arctic (cA) air masses are cold, dry air masses originating from the North Pole. • Continental Antarctic (cAA) air masses are extremely cold and dry air masses originating from land at the South Pole. See the below image to visualize where these different types of air masses typically originate. 350 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Air masses and their location of origin (Public Domain). Creation of Air Masses Air masses develop when air is present over a surface for an extended period of time. This typically occurs in a high pressure system with light wind. The areas where air masses develop are called source regions. Air masses over warm surfaces usually develop faster than those over colder surfaces because there is weaker turbulence in the stable air over the cold surface. When air masses shift from their source regions, they change over time due to the surfaces and terrain over which the air masses flow. Movement of Air Masses Air masses do not remain over their source regions permanently. Slight changes in American Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Weather.]" class="glossaryLink">weather patterns may shift the air mass to a new location. As air masses move, two things can occur. First, as the air shifts over the different surface characteristics, ATMO 200 • 351 the air mass begins changing. This process is called American Meteorological Society, cited 2020: Air Mass Modification. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Airmass_modification.]" class="glossaryLink">air mass modification. For example, an mP airmass that moves from the Pacific ocean over the mountains in the western continental US will typically dry as it crosses the mountains, rains out its moisture, and warms over the land surface until it becomes a cT airmass. The second thing that happens when air masses move is that they may collide with other air masses. When a collision occurs, the two air masses develop a boundary called a American Meteorological Society, cited 2020: Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Front.]" class="glossaryLink">front. Surface Fronts Surface fronts are the boundaries or transition zones between air masses at the Earth’s surface. Changes in temperature, humidity, wind, pressure, visibility, as well as particular cloud and American Meteorological Society, cited 2020: Precipitation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Precipitation.]" class="glossaryLink">precipitation patterns are often observed at fronts. There are four main types of fronts. 1. Cold fronts 2. Warm fronts 352 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL 3. Occluded fronts 4. Stationary fronts Fronts are named based on the characteristics of the air mass that is replacing the prior air mass. For example, if a cold air mass is moving toward a warm air mass, the boundary between them will be called a cold American Meteorological Society, cited 2020: Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Front.]" class="glossaryLink">front because the cold air is effectively replacing the warm air from the perspective of a stationary point on Earth’s surface. Fronts are usually associated with low pressure systems. Frontal boundaries on a map are labeled in the location where the temperature gradient of the American Meteorological Society, cited 2020: Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Front.]" class="glossaryLink">front meets the Earth’s surface. ATMO 200 • 353 Cold Fronts Diagram showing a vertical cross section through a cold front (CC BY-SA 4.0). Cold fronts are a transition zone in which the advancing cold air mass replaces a retreating warmer air mass. On American Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Weather.]" class="glossaryLink">weather maps, cold fronts are drawn as blue lines with blue triangles pointing toward the warmer air mass, in the direction of frontal movement, as seen in the above image. Because warm air is less dense than colder air, the cold air stays on the bottom and warm air is forced to rise above the advancing cold air. This forced lifting results in typical cloud patterns ahead of a cold American Meteorological Society, cited 2020: Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Front.]" class="glossaryLink">front, which include cirrus and 354 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL cirrostratus clouds. The number of cumulus clouds in the warm air mass increases as the frontal boundary approaches. Because the warm air mass is forced to rise, atmospheric American Meteorological Society, cited 2020: Instability. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Instability.]" class="glossaryLink">instability occurs along the cold American Meteorological Society, cited 2020: Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Front.]" class="glossaryLink">front and results in towering cumulus and cumulonimbus clouds, which may produce heavy rain and thunderstorms along the frontal boundary. During the passage of a cold American Meteorological Society, cited 2020: Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Front.]" class="glossaryLink">front, the wind direction generally shifts from south or southwest (in the warm sector) to west or northwest (in the cold sector) in the northern hemisphere. After a cold American Meteorological Society, cited 2020: Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Front.]" class="glossaryLink">front’s passage, fair American Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Weather.]" class="glossaryLink">weather returns with the appearance of cumulus and stratocumulus clouds. ATMO 200 • 355 Warm Fronts Diagram showing a vertical cross section through a warm front (CC BY-SA 3.0). Warm fronts are a transition zone in which the advancing warm air mass replaces a retreating colder air mass. On American Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Weather.]" class="glossaryLink">weather maps, warm fronts are drawn as red lines with red semicircles pointing toward the colder air mass in the direction of the frontal movement. Advancing warm air is forced to rise above the retreating cold dense air. Again, because of this forced lifting, typical cloud patterns are common ahead of a American Meteorological Society, cited 2020: Warm Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Warm_front.]" class="glossaryLink">warm front. These include upper-level clouds such as cirrus and cirrostratus clouds before 356 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL clouds thicken and lower-level clouds like altostratus, nimbostratus, and fog near the frontal boundary. Because the air mass is rising along the American Meteorological Society, cited 2020: Warm Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Warm_front.]" class="glossaryLink">warm front, clouds form and steady American Meteorological Society, cited 2020: Precipitation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Precipitation.]" class="glossaryLink">precipitation may occur. During the passage of a American Meteorological Society, cited 2020: Warm Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Warm_front.]" class="glossaryLink">warm front, wind direction shifts from east or southeast (in the cold sector) to southwest (in the warm sector) in the northern hemisphere. After a American Meteorological Society, cited 2020: Warm Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Warm_front.]" class="glossaryLink">warm front’s passage, cloud cover and American Meteorological Society, cited 2020: Precipitation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Precipitation.]" class="glossaryLink">precipitation decreases with only scattered cumulus clouds remaining. ATMO 200 • 357 Occluded Fronts Diagram showing a vertical cross section through an occluded front (Public Domain). Occluded fronts are a frontal boundary that forms when a cold American Meteorological Society, cited 2020: Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Front.]" class="glossaryLink">front catches up to a American Meteorological Society, cited 2020: Warm Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Warm_front.]" class="glossaryLink">warm front. Cold fronts move faster than warm fronts, so cold fronts can sometimes catch up to warm fronts, but not the other way around. There are two types of occlusions: cold occlusions and warm occlusions. Cold occlusions (shown above) occur when the advancing air mass is colder than the retreating air mass. Warm occlusions occur when the advancing air mass is warmer than the retreating air mass. On American Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Weather.]" 358 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL class="glossaryLink">weather maps, occluded fronts are drawn as purple lines with purple triangles and purple semi circles. You’ll notice that this symbol is a combination of the cold American Meteorological Society, cited 2020: Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Front.]" class="glossaryLink">front and American Meteorological Society, cited 2020: Warm Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Warm_front.]" class="glossaryLink">warm front symbols, which isn’t surprising because an American Meteorological Society, cited 2020: Occluded Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Occluded_fronts.]" class="glossaryLink">occluded front is effectively a combination of the two. Frontal symbol for an occluded frontal boundary (Public Domain). Occluded fronts are the final stage of a frontal boundary because warm air above cool air is a stable scenario. Stationary Fronts Stationary fronts are a type of frontal system that are almost stationary with the winds flowing nearly parallel and from the opposite paths in each side separated by the American Meteorological Society, cited 2020: Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ ATMO 200 • 359 wiki/Front.]" class="glossaryLink">front. On American Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Weather.]" class="glossaryLink">weather maps, stationary fronts are drawn as alternating blue and red lines with blue triangles pointing toward the warmer air mass and red semicircles pointing toward the colder air mass. This is the only scenario where the direction of the symbols does not indicate a direction of movement. Frontal symbol for a stationary frontal boundary (Public Domain). Other Frontal-like Features Not all American Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Weather.]" class="glossaryLink">weather features have frontal characteristics, such as a trough and a dryline. While troughs feature a change in cloud and American Meteorological Society, cited 2020: Precipitation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Precipitation.]" class="glossaryLink">precipitation pattern, it lacks the sharp change in temperature and moisture as observed in fronts. Drylines are a boundary between warm, moist air and warm, dry air. Because both air masses are warm, a dryline cannot be 360 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL classified as either a American Meteorological Society, cited 2020: Warm Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Warm_front.]" class="glossaryLink">warm front or a cold American Meteorological Society, cited 2020: Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Front.]" class="glossaryLink">front. Drylines commonly occur during spring and summer in southwestern United States, particularly in Texas. Warm, humid air from the Gulf of Mexico meets with the warm, dry air from the desert plateau. During the afternoon, convective clouds and even thunderstorms can develop in drylines as moist air rises over the denser dry air. Chapter 12: Questions to Consider 1. What is an air mass? What are some different types of air masses and where do they originate? 2. Label the cold American Meteorological Society, cited 2020: Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Front.]" class="glossaryLink">front crosssection: ATMO 200 • 361 An interactive or media element has been excluded from this version of the text. You can view it online here: http://pressbooks-dev.oer.hawaii.edu/ atmo/?p=379 3. Label the American Meteorological Society, cited 2020: Warm Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Warm_front.]" class="glossaryLink">warm front crosssection: An interactive or media element has been excluded from this version of the text. You can view it online here: http://pressbooks-dev.oer.hawaii.edu/ atmo/?p=379 4. Match the American Meteorological Society, cited 2020: Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Front.]" class="glossaryLink">front name with the correct symbology: An interactive or media element has 362 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL been excluded from this version of the text. You can view it online here: http://pressbooks-dev.oer.hawaii.edu/ atmo/?p=379 5. What cloud and American Meteorological Society, cited 2020: Precipitation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Precipitation.]" class="glossaryLink">precipitation patterns are typically associated with warm and cold frontal passage? Selected Practice Question Answers: An interactive or media element has been excluded from this version of the text. You can view it online here: http://pressbooks-dev.oer.hawaii.edu/ atmo/?p=379 Chapter 13: Extratropical Cyclones ALISON NUGENT AND DAVID DECOU Learning Objectives By the end of this chapter, you should be able to: 1. Describe how American Meteorological Society, cited 2020: Cyclogenesis. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Cyclogenesis.]" class="glossaryLink">cyclogenesis occurs 363 364 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL 2. Identify areas on a map where midlatitude cyclones are common, and explain why they move where they do 3. Sketch the frontal systems involved in a mid-latitude cyclone 4. Understand the hazards associated with mid-latitude cyclones 5. Discuss the relationship between sea level pressure, high and low pressure systems, air columns and mass budgets as a closed system Satellite image of a mid-latitude cyclone over North America (Public Domain). ATMO 200 • 365 Introduction For well over a century, forecasters have been aware that areas of falling barometric pressures are often accompanied by American Meteorological Society, cited 2020: Precipitation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Precipitation.]" class="glossaryLink">precipitation and strong winds. However, it wasn’t until the early 1900’s that atmospheric scientists began piecing together a more complete picture of how low pressure systems develop, as well as the American Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Weather.]" class="glossaryLink">weather associated with them. Recall that a cyclone is an area of low pressure, around which winds blow counterclockwise in the Northern Hemisphere and clockwise in the Southern Hemisphere. This is due to the fact that winds blow from high to low pressure, but are deflected by the American Meteorological Society, cited 2020: Coriolis Force. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Coriolis_force.]" class="glossaryLink">Coriolis force (perpendicular to the right of the motion vector in the Northern Hemisphere, left in the Southern Hemisphere). The focus of this chapter is cyclonic storm systems that form in the mid-to-high latitudes outside of the tropics. These storm systems are either called mid-latitude frontal cyclones, extratropical cyclones, wave cyclones, or simply frontal cyclones. Tropical cyclones will be the focus of a later chapter. 366 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Shortly after World War I, Vilhelm Bjerknes, Jakob Bjerknes, Halvor Solberg, and Tor Bergeron published their Norwegian Cyclone model. This model proposed a life cycle for the development of mid-latitude cyclones, and was mostly based on surface observations. It became known as the American Meteorological Society, cited 2020: Polar Front Theory. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Polar-front_theory.]" class="glossaryLink">Polar Front Theory of a developing wave cyclone. It was eventually modified and today provides a way to describe the structure, American Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Weather.]" class="glossaryLink">weather, and evolution of a moving cyclonic storm system in the mid-latitudes. First we will look at how a mid-latitude cyclone develops at the surface, and then we will look at how the surface evolution is affected by the winds aloft. ATMO 200 • 367 Satellite image of an extratropical cyclone over the UK (CC BY 2.0). Cyclogenesis and Life Cycle Following the Norwegian model, the development of a midlatitude cyclone begins along the American Meteorological Society, cited 2020: Polar Front. Glossary of Meteorology. 368 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL [Available online at http://glossary.ametsoc.org/wiki/ Polar_front.]" class="glossaryLink">polar front. Recall from Chapter 11 that the American Meteorological Society, cited 2020: Polar Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Polar_front.]" class="glossaryLink">polar front separates cold polar air from warmer subtropical air at around 60° latitude. It is a semicontinuous boundary and mid-latitude cyclones form and move along it as a series of waves. For this reason, a developing storm is sometimes referred to as a wave cyclone. A full example for cyclogensis and life cycle of a mid-latitude frontal cyclone in the Northern Hemisphere will be discussed here. This first figure shows a portion of the American Meteorological Society, cited 2020: Polar Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Polar_front.]" class="glossaryLink">polar front as a stationary front, with cold air to the north and warmer air to the south flowing parallel to the American Meteorological Society, cited 2020: Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Front.]" class="glossaryLink">front in opposite directions. These winds moving in opposite directions set up rotation, similar to how a pen will turn if you place it between your hands and move them in opposite directions. ATMO 200 • 369 Part 1 of cyclogenesis: a stationary front with opposite moving winds on either side (Public Domain). Under the right conditions, a American Meteorological Society, cited 2020: Frontal Wave. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Frontal_wave.]" class="glossaryLink">frontal wave will begin to form along the American Meteorological Society, cited 2020: Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Front.]" class="glossaryLink">front, with a cold American Meteorological Society, cited 2020: Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Front.]" class="glossaryLink">front pushing southward and a American Meteorological Society, cited 2020: Warm Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Warm_front.]" class="glossaryLink">warm front moving northward. The lowest pressure lies at the junction of the two fronts. The southward-moving cold American Meteorological Society, cited 2020: Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Front.]" class="glossaryLink">front pushes warmer, less dense air upward, while the American Meteorological Society, cited 2020: 370 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Warm Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Warm_front.]" class="glossaryLink">warm front overruns and moves over the colder air ahead of it. This creates rising motion in the column, and a narrow band of American Meteorological Society, cited 2020: Precipitation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Precipitation.]" class="glossaryLink">precipitation forms. The surface low pressure system is steered by winds aloft, typically moving eastward or northeastward, and it gradually becomes a fullydeveloped mature cyclone 12 to 24 hours after its incipient stage. Part 2 of cyclogenesis: the formation of a frontal wave (Public Domain). The central pressure lowers and the pressure gradient increases, causing a stronger cyclonic (counterclockwise) flow inward toward the low’s center. The American Meteorological Society, cited 2020: Precipitation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Precipitation.]" class="glossaryLink">precipitation band widens ahead of the American Meteorological Society, cited 2020: Warm Front. ATMO 200 • 371 Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Warm_front.]" class="glossaryLink">warm front, and narrows ahead of the cold American Meteorological Society, cited 2020: Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Front.]" class="glossaryLink">front. The region of warmer air between the cold and warm fronts here is called the warm sector. Here, the American Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Weather.]" class="glossaryLink">weather is generally partly cloudy, with scattered showers possible if the air is conditionally unstable. Where does the mid-latitude cyclone get its American Meteorological Society, cited 2019: Energy. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Energy.]" class="glossaryLink">energy from? As the warmer and colder air masses attempt to regain equilibrium, warm air rises over the colder air, which transforms American Meteorological Society, cited 2019: Potential energy. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Potential_energy.]" class="glossaryLink">potential energy into kinetic (motion) American Meteorological Society, cited 2019: Energy. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Energy.]" class="glossaryLink">energy. As warmer air rises, it condenses into clouds, which release American Meteorological Society, cited 2019: Latent heat. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Latent_heat.]" 372 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL class="glossaryLink">latent heat American Meteorological Society, cited 2019: Energy. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Energy.]" class="glossaryLink">energy into the system. Near the surface, winds converge inward toward the low’s center. Wind speeds may increase as a result of a stronger American Meteorological Society, cited 2020: Pressure Gradient Force. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Pressure-gradient_force.]" class="glossaryLink">pressure gradient force near the center, increasing the American Meteorological Society, cited 2019: Kinetic energy. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Kinetic_energy.]" class="glossaryLink">kinetic energy in the system. Part 3 of cyclogenesis: a newly developed cyclone (Public Domain). As the cyclone moves eastward, the central pressure continues to decrease and winds increase during its mature stage. The fastermoving cold American Meteorological Society, cited 2020: Front. Glossary of Meteorology. [Available online at ATMO 200 • 373 http://glossary.ametsoc.org/wiki/Front.]" class="glossaryLink">front closes in on the American Meteorological Society, cited 2020: Warm Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Warm_front.]" class="glossaryLink">warm front, decreasing the size of the warm sector. In the Norwegian cyclone model, the cold American Meteorological Society, cited 2020: Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Front.]" class="glossaryLink">front overtakes the American Meteorological Society, cited 2020: Warm Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Warm_front.]" class="glossaryLink">warm front and the cyclone becomes occluded. Cloud cover and American Meteorological Society, cited 2020: Precipitation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Precipitation.]" class="glossaryLink">precipitation cover a wide area and the storm is usually most intense at this stage. The point where the cold American Meteorological Society, cited 2020: Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Front.]" class="glossaryLink">front, American Meteorological Society, cited 2020: Warm Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Warm_front.]" class="glossaryLink">warm front, and American Meteorological Society, cited 2020: Occluded Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Occluded_fronts.]" class="glossaryLink">occluded front intersect is called the triple-point. Occasionally, a secondary low 374 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL may form at this triple point, move eastward, and intensify into another cyclone. Part 4 of cyclogenesis: formation of an occluded front and triple point (Public Domain). Eventually, as occlusion advances, the low pressure center will begin to dissipate, because cold air exists on both sides of the American Meteorological Society, cited 2020: Occluded Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Occluded_fronts.]" class="glossaryLink">occluded front. The sector of warm, rising air is removed from the center of the storm, so the storm gets cut off from its primary American Meteorological Society, cited 2019: Energy. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Energy.]" ATMO 200 • 375 class="glossaryLink">energy supply. Eventually the old storm dies out and gradually disappears. Part 5 of cyclogenesis: continued formation of an occluded front and dying out of the cyclone (Public Domain). This sequence of a developing mid-latitude cyclone is similar to a whirling, spinning eddy in a river that forms behind a stick or log, moves along with the river, and quickly disappears further downstream. This entire life cycle can last from several days to a little more than a week. Cyclones in various stages of development can be seen all at once along the American Meteorological Society, cited 2020: Polar Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Polar_front.]" class="glossaryLink">polar front—this succession of storms is known as a cyclone “family”. As mentioned before, some 376 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL cyclones form from dying previous cyclones and become a part of the succession. This American Meteorological Society, cited 2020: Polar Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Polar_front.]" class="glossaryLink">polar front model of development for a mid-latitude cyclone is rather simplified and, in fact, very few storms follow this model exactly. However, it is a good foundation for understanding storm structure. Storm Tracks The development of a mid-latitude cyclone is a process called American Meteorological Society, cited 2020: Cyclogenesis. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Cyclogenesis.]" class="glossaryLink">cyclogenesis. Certain regions in North America are more favorable for American Meteorological Society, cited 2020: Cyclogenesis. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Cyclogenesis.]" class="glossaryLink">cyclogenesis, including the eastern slopes of mountain ranges like the Rockies and Sierra Nevada, the Atlantic Ocean off the Carolina Coast, and the Gulf of Mexico. When air flows westward across a north-south extending mountain range, the air on the leeward (downwind) side tends to have cyclonic curvature, which adds to the development of a cyclone. This is called American Meteorological Society, cited 2020: Lee Cyclogenesis. Glossary of Meteorology. [Available online at ATMO 200 • 377 http://glossary.ametsoc.org/wiki/Lee_cyclogenesis.]" class="glossaryLink">lee cyclogenesis, and cyclones that are a result of this are often called lee-side lows/cyclones. Cyclones may also develop near Cape Hatteras, North Carolina, where warm moist air from the Gulf Stream can increase the north-south air mass temperature/moisture contrast to the point where American Meteorological Society, cited 2020: Cyclogenesis. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Cyclogenesis.]" class="glossaryLink">cyclogenesis might occur. These cyclones are called northeasters (or nor’easters) and normally move northeast along the Atlantic Coast. These storms can bring heavy rain or snow and high winds to areas along the East Coast. Typical cyclone storm tracks are named after the region in which they form, like the Hatteras low, Alberta Clipper, or Colorado low. Alberta clippers and Colorado lows form or re-develop on the lee-side of the Rockies. Mid-latitude cyclones always move toward the east due to the prevailing American Meteorological Society, cited 2020: Westerlies. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Westerlies.]" class="glossaryLink">westerlies. What influences the strength of a mid-latitude cyclone, and determines how long it will persist? There are some surface conditions that influence American Meteorological Society, cited 2020: Cyclogenesis. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Cyclogenesis.]" class="glossaryLink">cyclogenesis, but the real key to mid- 378 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL latitude cyclone development lies in the winds aloft. How are mid-latitude cyclones influenced by upper-level flow? Mid-latitude Cyclone in Three Dimensions Developing surface lows are usually more intense with height and appear on upper-level charts as a trough or a closed low. However, the low in the upper-levels usually exists to the west of the surface low (again, in the Northern Hemisphere). This is a necessary condition for a low pressure system to continue to develop and intensify. If the upper-level low were directly over the surface low, the surface low would quickly dissipate. This is because winds converge inward toward the low, but only at the surface. This convergence at the surface causes the air mass to “pile up” and air density to increase just above the surface low. The increase in air mass causes surface pressures to rise, and the low fills in and dissipates. How then do cyclones intensify and develop? The air that piles up at the surface must have an “exit path” out of the column so that the surface air pressure can continue to decrease and the cyclone can strengthen. The vertical structure of the atmosphere must allow for air to rise out of a surface low pressure. The following figure shows an idealized model of the vertical structure of a cyclone and anticyclone in the Northern Hemisphere. A surface low and a surface high are accompanied by an upper level trough and ridge respectively. ATMO 200 • 379 Diagram of the structure of a cyclone and anticyclone accompanied by a trough and ridge (Image Created by Britt Seifert). On the right hand side is a Northern Hemisphere frontal cyclone with a warm and cold American Meteorological Society, cited 2020: Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Front.]" class="glossaryLink">front. The cold air behind the cold American Meteorological Society, cited 2020: Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Front.]" class="glossaryLink">front at the surface also extends upward aloft. Recall that the layer between two pressure surfaces is thinner when the air temperature of the layer is cold (more dense), and thicker when the layer is warm (less dense). When pressure levels are packed closer together, pressure decreases more rapidly with height in a column of cold air. Because of this, low pressure is found aloft a body of cold air, just as you find behind a cold American Meteorological Society, cited 2020: Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Front.]" class="glossaryLink">front because the constant pressure 380 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL surfaces are squeezed closer to the Earth’s surface. Thus an upper low is often found in the cold air aloft to the west of, or behind, the surface low. The surface low tilts toward the northwest moving up from the surface. Directly above the surface low, the airflow spreads out and diverges. This allows the converging surface air to rise and flow out of the air column at the tropopause, reinforcing vertical motion. When the divergence in the upper levels is stronger than convergence at the surface, surface pressures will lower further, and the low will intensify and deepen. Put another way: when air exits the column more rapidly aloft than it enters the column at the surface, then the amount of air in the column will reduce, the surface pressure will lower, and the cyclone will intensify. Notice that there is convergence directly aloft of the high pressure system. Here, the air mass increases aloft and piles up, while air flows clockwise (in the Northern Hemisphere) and out of the anticyclone at the surface. If air were able to flow freely out of the anticyclone, the air pressure would rapidly drop and the anticyclone would dissipate. Therefore, to maintain or strengthen the high pressure system, air has to continually be added to the anticyclone. This happens when there is convergence above a surface high. The air that piles up aloft sinks in the column increasing surface pressure. If the convergence aloft is stronger than the divergence at the surface (more air is added than is removed), then the surface pressure will increase. Winds at the 500-mb pressure level tend to steer surface low and high pressure systems. Generally speaking, surface storm ATMO 200 • 381 systems tend to travel at about 16 knots in summer, and roughly 27 knots in winter. This is due to stronger jets and upper-level flow in the winter, a result of stronger north-south temperature differences. Redistribution of Heat Mid-latitude frontal cyclones are both a vital part of global circulation and a result of global circulation. They’re also an important pattern in the climatology of regions in the midlatitudes. The temperature gradients that cause frontal cyclones form as a result of the colliding surface air from the polar and Ferrel cells. The strong temperature gradient with cold air from the polar region and warm air from the tropics is the American Meteorological Society, cited 2019: Energy. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Energy.]" class="glossaryLink">energy source that drives the frontal storms. On the flip side of the same token, frontal cyclones are a huge contributor to the redistribution of heat globally. Warm air moving poleward in a American Meteorological Society, cited 2020: Warm Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Warm_front.]" class="glossaryLink">warm front and cold air moving equatorward in a cold American Meteorological Society, cited 2020: Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Front.]" class="glossaryLink">front are later stabilized after the temperature gradient balances itself by forcing the cold air aloft 382 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL (American Meteorological Society, cited 2020: Occluded Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Occluded_fronts.]" class="glossaryLink">occluded front). Frontal cyclones are thus both a result of and a contributor to global circulation and the redistribution of heat from the equator to the poles. The beginning of the chapter showed images of these storm systems extending over scales the size of continents and landmasses. It also described how these storm systems last from days to over a week. Instabilities along the American Meteorological Society, cited 2020: Polar Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Polar_front.]" class="glossaryLink">polar front are always growing and dying, and passing over fixed points on Earth. The point is that if you live somewhere along the storm track in the Northern or Southern hemisphere, in the wintertime, these storm systems dictate your American Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Weather.]" class="glossaryLink">weather. For example, if you live in Boston, Massachusetts, your winter American Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Weather.]" class="glossaryLink">weather may look something like this: a few days of warm clear American Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Weather.]" class="glossaryLink">weather, a quick change (passing cold American Meteorological Society, cited 2020: Front. Glossary ATMO 200 • 383 of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Front.]" class="glossaryLink">front) resulting in a large drop in temperatures and some heavy rain, then cold dry American Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Weather.]" class="glossaryLink">weather for a few days. This cold American Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Weather.]" class="glossaryLink">weather then transitions slowly to warm by some light rain and warming temperatures (American Meteorological Society, cited 2020: Warm Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Warm_front.]" class="glossaryLink">warm front). While variable, this pattern repeats itself week after week. Depending on the stage of the frontal storm as it passes over you, it may be more or less severe, and you may receive more or less rain, snow, or other wintery American Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Weather.]" class="glossaryLink">weather. The American Meteorological Society, cited 2020: Precipitation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Precipitation.]" class="glossaryLink">precipitation and temperature variations resulting from frontal cyclones are an important part of the climatology of mid-latitude American Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Weather.]" class="glossaryLink">weather. 384 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Chapter 13: Questions to Consider 1. Which American Meteorological Society, cited 2020: Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Front.]" class="glossaryLink">front do midlatitude cyclones form and move along? 2. How long does it take for a cyclone to fully develop? 3. What is the point where the cold American Meteorological Society, cited 2020: Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Front.]" class="glossaryLink">front, American Meteorological Society, cited 2020: Warm Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Warm_front.]" class="glossaryLink">warm front, and American Meteorological Society, cited 2020: Occluded Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Occluded_fronts.]" class="glossaryLink">occluded front intersect called? 4. True or False: ATMO 200 • 385 An interactive or media element has been excluded from this version of the text. You can view it online here: http://pressbooks-dev.oer.hawaii.edu/ atmo/?p=392 5. Put the steps of American Meteorological Society, cited 2020: Cyclogenesis. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Cyclogenesis.]" class="glossaryLink">cyclogenesis in the correct order from 1 to 5: An interactive or media element has been excluded from this version of the text. You can view it online here: http://pressbooks-dev.oer.hawaii.edu/ atmo/?p=392 Selected Practice Question Answers: An interactive or media element has been excluded from this version of the text. You can view it online here: http://pressbooks-dev.oer.hawaii.edu/ atmo/?p=392 Chapter 14: Thunderstorm Fundamentals ALISON NUGENT AND SHINTARO RUSSELL Learning Objectives By the end of this chapter, you should be able to: 1. Draw a diagram and label parts of a American Meteorological Society, cited 2020: Thunderstorm. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Thunderstorm.]" class="glossaryLink">thunderstorm 2. Recognize that thunderstorms are 386 ATMO 200 • 387 sometimes part of a mid-latitude cyclone 3. Describe the importance of updraft separation from the downdraft and American Meteorological Society, cited 2020: Precipitation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Precipitation.]" class="glossaryLink">precipitation portion of a American Meteorological Society, cited 2020: Thunderstorm. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Thunderstorm.]" class="glossaryLink">thunderstorm 4. Identify a few types of thunderstorms (airmass, MCC, American Meteorological Society, cited 2020: Squall Line. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Squall_line.]" class="glossaryLink">squall line, American Meteorological Society, cited 2020: Supercell. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Supercell.]" class="glossaryLink">supercell, etc.) 5. Discuss a few favorable conditions for 388 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL American Meteorological Society, cited 2020: Thunderstorm. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Thunderstorm.]" class="glossaryLink">thunderstorm formation 6. Describe the importance of American Meteorological Society, cited 2020: Wind Shear. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Wind_shear.]" class="glossaryLink">wind shear for thunderstorms 7. Identify LFC and EL on a skew-T as well as CAPE and CIN and connect them to American Meteorological Society, cited 2020: Thunderstorm. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Thunderstorm.]" class="glossaryLink">thunderstorm characteristics 8. Compute updraft velocity from CAPE ATMO 200 • 389 Lightning strikes the water from a thunderstorm in Northern Sicily (CC BY-SA 2.0). Introduction Thunderstorms are deep convective clouds that have a large vertical extent all the way from the boundary layer to the tropopause. Thunderstorms often bring a variety of severe American Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Weather.]" class="glossaryLink">weather such as heavy rain, hail, American Meteorological Society, cited 2020: Lightning. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Lightning.]" class="glossaryLink">lightning, damaging winds, and, 390 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL occasionally, tornados. Thunderstorms are sometimes thought to be synonymous with cumulonimbus clouds, though not all cumulonimbus clouds are thunderstorms. The primary American Meteorological Society, cited 2019: Energy. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Energy.]" class="glossaryLink">energy that drives thunderstorms is the conversion of moist air into clouds and American Meteorological Society, cited 2020: Precipitation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Precipitation.]" class="glossaryLink">precipitation, which releases significant amounts of American Meteorological Society, cited 2019: Latent heat. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Latent_heat.]" class="glossaryLink">latent heat in the condensation process. Over land, thunderstorms occur most frequently in the late afternoon and early evening. Storms are most likely to occur soon after the warmest surface temperatures, which helps to give warm air parcels the initial buoyancy they need to begin to rise. Thunderstorms can last anywhere from less than an hour to more than 12 hours. Because of their rapid growth, relatively small (mesoscale) size, and sensitivity to environmental conditions, it is difficult to predict the exact time and location of a storm. Typically a forecast will say there is a chance of thunderstorms over an area—meaning that although conditions are conducive for a storm, the forecasters don’t know exactly where or when it will occur. ATMO 200 • 391 Thunderstorm Life Cycle The three main stages of a thunderstorms are as follows: 1. Developing stage 2. Mature stage 3. Dissipating stage In the developing stage, rising air called “updrafts” are dominant in this stage and towering cumulus clouds form. This type of cloud is also known as a cumulus congestus. Next is the mature stage where the towering cumulus becomes a cumulonimbus cloud featuring both updrafts and “downdrafts” or sinking air. Downdrafts develop as a result of water droplets falling to the ground as American Meteorological Society, cited 2020: Precipitation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Precipitation.]" class="glossaryLink">precipitation (e.g., snow, rain, hail). The falling drops drag air downward as they fall, creating a downward current of air in the cumulonimbus cloud. Finally, in the dissipating stage downdrafts are dominant and cut off the updrafts needed for a cumulonimbus cloud to form and sustain itself. As a result, the cloud dissipates. If a cumulonimbus cloud has American Meteorological Society, cited 2020: Thunder. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Thunder.]" class="glossaryLink">thunder and American Meteorological Society, cited 2020: Lightning. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ 392 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Lightning.]" class="glossaryLink">lightning, it is called a American Meteorological Society, cited 2020: Thunderstorm. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Thunderstorm.]" class="glossaryLink">thunderstorm. American Meteorological Society, cited 2020: Lightning. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Lightning.]" class="glossaryLink">Lightning is caused by a charge separation in clouds. For this charge separation to occur, a cloud must have ice crystals inside of it, which is why thunderstorms are always mixed-phase or ice-phase clouds. Formation and dissipation of a thunderstorm (Public Domain). Airmass Thunderstorm The American Meteorological Society, cited 2020: Thunderstorm. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Thunderstorm.]" class="glossaryLink">thunderstorm described above is called an airmass American Meteorological Society, cited 2020: ATMO 200 • 393 Thunderstorm. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Thunderstorm.]" class="glossaryLink">thunderstorm. In general, the ingredients necessary for a American Meteorological Society, cited 2020: Thunderstorm. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Thunderstorm.]" class="glossaryLink">thunderstorm to occur are warm moist air, some type of American Meteorological Society, cited 2020: Instability. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Instability.]" class="glossaryLink">instability, and a trigger that can initiate the storm system. Airmass thunderstorms typically occur in environments with similar properties and little American Meteorological Society, cited 2020: Wind Shear. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Wind_shear.]" class="glossaryLink">wind shear. Airmass thunderstorms are the most benign types of thunderstorms and typically short-lived, lasting less than a few hours. The reason airmass thunderstorms are so short-lived and benign is because the storm shuts off its ability to maintain itself. This is due to two primary reasons: 1. Below cloud base the falling rain evaporates, cooling the air in the boundary layer. The storm deprives itself of the heat and moisture in the boundary-layer air. Without the warm buoyant air to drive further convection, the storm loses its strength and dissipates. 2. Rain falls within the updraft of the storm, reducing its strength, again causing dissipation. 394 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Another diagram of an airmass American Meteorological Society, cited 2020: Thunderstorm. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Thunderstorm.]" class="glossaryLink">thunderstorm or single cell American Meteorological Society, cited 2020: Thunderstorm. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Thunderstorm.]" class="glossaryLink">thunderstorm is shown below. The initial small cumulus cloud grows to a cumulus congestus, which has mostly updrafts. It then grows further into a mature cumulonimbus cloud with well defined updrafts and downdrafts. The final stage is the dissipating stage, which has mostly downdrafts. Another diagram showing the typical cycle of a thunderstorm (CC BY-SA 4.0). The trigger for a American Meteorological Society, cited 2020: Thunderstorm. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Thunderstorm.]" class="glossaryLink">thunderstorm can be a warm humid air mass heated from the bottom by daytime solar heating or forced lifting by terrain (orographic thunderstorms). Collision of airmasses can be another trigger, as you might find along a American Meteorological Society, cited 2020: Warm Front. ATMO 200 • 395 Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Warm_front.]" class="glossaryLink">warm front, cold American Meteorological Society, cited 2020: Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Front.]" class="glossaryLink">front, or dryline. Thunderstorm Features The main features of a mature American Meteorological Society, cited 2020: Thunderstorm. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Thunderstorm.]" class="glossaryLink">thunderstorm includes updrafts, downdrafts, overshooting tops, and an anvil. An American Meteorological Society, cited 2020: Overshooting Top. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Overshooting_top.]" class="glossaryLink">overshooting top occurs at the top of the American Meteorological Society, cited 2020: Thunderstorm. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Thunderstorm.]" class="glossaryLink">thunderstorm. Overshooting tops are dome-shaped as a result of strong updrafts in intense thunderstorms reaching the tropopause and pushing upward into the stable region. However, ultimately, because the tropopause is so stable, the air gets pushed back downward and spread laterally. This lateral spreading forms the cloud anvil at the top of the American Meteorological Society, cited 2020: Thunderstorm. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Thunderstorm.]" 396 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL class="glossaryLink">thunderstorm boundary. along the tropopause Severe Thunderstorm While basic airmass thunderstorms typically consist of one “cell”, severe storms often contain multiple cells, consisting of more than one rising thermal connected with the same storm system. In a multicell storm, each cell is typically at a different life cycle stage and they continue on one from another. In order for a American Meteorological Society, cited 2020: Thunderstorm. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Thunderstorm.]" class="glossaryLink">thunderstorm to become severe, one important additional ingredient is necessary. In addition to warm moist air, some sort of American Meteorological Society, cited 2020: Instability. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Instability.]" class="glossaryLink">instability, and a trigger, severe thunderstorms need American Meteorological Society, cited 2020: Wind Shear. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Wind_shear.]" class="glossaryLink">wind shear. American Meteorological Society, cited 2020: Wind Shear. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Wind_shear.]" class="glossaryLink">Wind shear is defined as a change in wind speed or direction with altitude. The reason American Meteorological Society, cited 2020: Wind Shear. Glossary of Meteorology. [Available online at ATMO 200 • 397 http://glossary.ametsoc.org/wiki/Wind_shear.]" class="glossaryLink">wind shear is important for severe storms is easy; American Meteorological Society, cited 2020: Wind Shear. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Wind_shear.]" class="glossaryLink">wind shear helps to tilt a storm such that the updraft and downdraft are displaced from one another. Without the competition between upward moving air and downward moving air, severe thunderstorms can strengthen and last much much longer than airmass thunderstorms. Severe thunderstorms come in many different forms. A few will be discussed below. Severe Thunderstorm Types The three main types of thunderstorms include squall lines, mesoscale convective complexes (MCCs), and supercells. Squall Line A American Meteorological Society, cited 2020: Squall Line. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Squall_line.]" class="glossaryLink">squall line is a linear propagating severe American Meteorological Society, cited 2020: Thunderstorm. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Thunderstorm.]" class="glossaryLink">thunderstorm. Squall lines consist of a long, narrow line of merged thunderstorms, often triggered by a cold American Meteorological Society, cited 2020: Front. Glossary of Meteorology. [Available online at 398 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL http://glossary.ametsoc.org/wiki/Front.]" class="glossaryLink">front, dry line, or American Meteorological Society, cited 2020: Gust Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Gust_front.]" class="glossaryLink">gust front. Squall lines can be many hundreds of kilometers long, but their width is usually much shorter, between 15 and 100 km. They can sustain themselves from several hours to several days. A American Meteorological Society, cited 2020: Squall Line. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Squall_line.]" class="glossaryLink">squall line continues propagating with the help of a American Meteorological Society, cited 2020: Gust Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Gust_front.]" class="glossaryLink">gust front. When rain falls into the drier environment below the cloud base, it evaporates, cooling the air. This cool air continues to move downward, sometimes with strong force and reinforcement from a continuous downdraft. When the cool downdraft hits the surface of Earth, it spreads laterally, literally the same as a density current. Because it is relatively cool, it acts like a mini cold American Meteorological Society, cited 2020: Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Front.]" class="glossaryLink">front, pushing warmer air up over it as it moves along. This upward push can initiate convection, and continue fueling the larger storm system. ATMO 200 • 399 Mesoscale Convective Complex A American Meteorological Society, cited 2020: Mesoscale Convective Complex. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Mesoscale_convective_complex.]" class="glossaryLink">mesoscale convective complex (MCC) is a type of severe storm that has a cloud shield (anvil) with a diameter of at least 350 km, elliptical or circular shape, and lasts between 6 and 12 hours. MCCs are huge storms that occur multiple times per year especially in the central United States. They are truly impressive masses of convection. Supercell A American Meteorological Society, cited 2020: Supercell. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Supercell.]" class="glossaryLink">supercell is a special type of severe storm that has rotation. Supercells form when the environment has directional American Meteorological Society, cited 2020: Wind Shear. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Wind_shear.]" class="glossaryLink">wind shear causing updrafts within a cloud to gain vorticity as they rise. While all severe storms have a structure that separates the updraft from the downdraft, American Meteorological Society, cited 2020: Supercell. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Supercell.]" class="glossaryLink">supercell storms have a very clearly defined structure, which allows them to sometimes form 400 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL tornados. As shown in the below image, supercells have additional features like a American Meteorological Society, cited 2020: Wall Cloud. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Wall_cloud.]" class="glossaryLink">wall cloud and a American Meteorological Society, cited 2020: Flanking Line. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Flanking_line.]" class="glossaryLink">flanking line. The American Meteorological Society, cited 2020: Wall Cloud. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Wall_cloud.]" class="glossaryLink">wall cloud exists beneath the cloud base and near the border between the downdraft of cold air and the lower-level inflow of warm humid air. The American Meteorological Society, cited 2020: Flanking Line. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Flanking_line.]" class="glossaryLink">flanking line is the region of towering cumulus that indicates extensive updrafts ahead of intense thunderstorms. ATMO 200 • 401 Diagram of a supercell thunderstorm with an anvil shape (CC BY-SA 3.0). Here is a diagramed image of an actual American Meteorological Society, cited 2020: Supercell. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Supercell.]" class="glossaryLink">supercell American Meteorological Society, cited 2020: Thunderstorm. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Thunderstorm.]" class="glossaryLink">thunderstorm that created a tornado. Remember that supercells are rotating storm systems that can produce tornados, but they don’t always. In fact, very few supercells produce tornados, but the ones that do get the most attention! 402 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL An image of a supercell cumulonimbus cloud (Public Domain). Here is one last image showing the structure of a American Meteorological Society, cited 2020: Supercell. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Supercell.]" class="glossaryLink">supercell from the top view. The image shows the location of the American Meteorological Society, cited 2020: Gust Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Gust_front.]" class="glossaryLink">gust front, the location of various American Meteorological Society, cited 2020: Precipitation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Precipitation.]" class="glossaryLink">precipitation types, and the location of downdrafts within the storm system. ATMO 200 • 403 A top view diagram of a supercell thunderstorm (Public Domain). Thunderstorm Formation Let’s review. The ingredients needed for American Meteorological Society, cited 2020: Thunderstorm. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Thunderstorm.]" class="glossaryLink">thunderstorm formation include high humidity, conditional American Meteorological Society, cited 2020: Instability. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Instability.]" class="glossaryLink">instability, and a trigger that initiates rising air. A symmetric short-lived storm is called an airmass American Meteorological Society, cited 2020: Thunderstorm. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Thunderstorm.]" class="glossaryLink">thunderstorm. When we add American Meteorological Society, cited 2020: Wind Shear. Glossary of 404 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Wind_shear.]" class="glossaryLink">wind shear to an airmass American Meteorological Society, cited 2020: Thunderstorm. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Thunderstorm.]" class="glossaryLink">thunderstorm, a severe American Meteorological Society, cited 2020: Thunderstorm. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Thunderstorm.]" class="glossaryLink">thunderstorm can result. We discussed three types of severe thunderstorms including squall lines, MCCs, and supercells. Supercells are a type of severe storm with rotation resulting from directional American Meteorological Society, cited 2020: Wind Shear. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Wind_shear.]" class="glossaryLink">wind shear in the environment. High humidity in the American Meteorological Society, cited 2019: Atmospheric boundary layer. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Atmospheric_boundary_layer.]" class="glossaryLink">atmospheric boundary layer is required for thunderstorms to occur. When water vapor condenses, American Meteorological Society, cited 2019: Latent heat. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Latent_heat.]" class="glossaryLink">latent heat is released. American Meteorological Society, cited 2019: Latent heat. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Latent_heat.]" class="glossaryLink">Latent heat is the ATMO 200 • 405 primary American Meteorological Society, cited 2019: Energy. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Energy.]" class="glossaryLink">energy source for thunderstorms. The higher the humidity, the more American Meteorological Society, cited 2019: Latent heat. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Latent_heat.]" class="glossaryLink">latent heat is released and the stronger the American Meteorological Society, cited 2020: Thunderstorm. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Thunderstorm.]" class="glossaryLink">thunderstorm becomes. American Meteorological Society, cited 2020: Instability. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Instability.]" class="glossaryLink">Instability is necessary for convection to occur. The best case scenario is conditional American Meteorological Society, cited 2020: Instability. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Instability.]" class="glossaryLink">instability, which often occurs when cold air lies above warm moist air capped by a temperature inversion. Cold air in the upper troposphere gives greater buoyancy to the updraft of warmer air from below and, therefore, a greater chance for strong thunderstorms to occur. American Meteorological Society, cited 2020: Wind Shear. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Wind_shear.]" class="glossaryLink">Wind shear is the change in wind speed 406 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL and or wind direction with height. In an environment with wind but without American Meteorological Society, cited 2020: Wind Shear. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Wind_shear.]" class="glossaryLink">wind shear, thunderstorms would last between 15 minutes and 1 hour as the American Meteorological Society, cited 2020: Thunderstorm. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Thunderstorm.]" class="glossaryLink">thunderstorm and boundary-layer air would remain together. In this scenario, an airmass American Meteorological Society, cited 2020: Thunderstorm. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Thunderstorm.]" class="glossaryLink">thunderstorm dissipates after it deprives itself of heat and moisture in the boundary-layer air. Strong American Meteorological Society, cited 2020: Wind Shear. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Wind_shear.]" class="glossaryLink">wind shear pushes thunderstorms away from the depleted boundary-layer air and into areas with warm, humid boundary-layer air. Thus, strong American Meteorological Society, cited 2020: Wind Shear. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Wind_shear.]" class="glossaryLink">wind shear helps thunderstorms sustain themselves for longer durations and to grow stronger. A trigger refers to any process that forces an American Meteorological Society, cited 2019: Air parcel. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ ATMO 200 • 407 wiki/Air_parcel.]" class="glossaryLink">air parcel to rise through a cap of stable air and result in American Meteorological Society, cited 2020: Thunderstorm. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Thunderstorm.]" class="glossaryLink">thunderstorm development. Triggers can be caused by frontal lifting, orographic effects, or surface heating. Atmospheric Instability and Thunderstorms Because the potential for thunderstorms to develop depends on atmospheric American Meteorological Society, cited 2019: Stability. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Stability.]" class="glossaryLink">stability and layering, atmospheric soundings (e.g., Skew-T log-P) are used by meteorologists to help forecast storms. The soundings receive their data from the rawinsonde balloon launches, aircraft observations, dropsondes, satellites, or other meteorological data sources. In atmospheric soundings, there are several labels indicating atmospheric American Meteorological Society, cited 2019: Stability. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Stability.]" class="glossaryLink">stability. The labels are lifted condensation level (LCL), American Meteorological Society, cited 2019: Level of Free Convection. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Level_of_free_convection.]" class="glossaryLink">level of free convection (LFC), American Meteorological Society, cited 408 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL 2019: Level of neutral buoyancy. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Level_of_neutral_buoyancy.]" class="glossaryLink">equilibrium level (EL), American Meteorological Society, cited 2019: Convective Available Potential Energy. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Convective_available_potential_energy.]" class="glossaryLink">convective available potential energy (CAPE), and American Meteorological Society, cited 2019: Convective Inhibition. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Convective_inhibition.]" class="glossaryLink">convective inhibition (CIN). Lifted Condensation Level (LCL) was discussed in previous chapters. It is the altitude where the temperature cools to the dew point temperature, resulting in American Meteorological Society, cited 2019: Saturation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Saturation.]" class="glossaryLink">saturation and condensation. The LCL is the location where the cloud base of a American Meteorological Society, cited 2020: Thunderstorm. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Thunderstorm.]" class="glossaryLink">thunderstorm develops. American Meteorological Society, cited 2019: Level of Free Convection. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ ATMO 200 • 409 Level_of_free_convection.]" class="glossaryLink">Level of Free Convection (LFC) is the height at which the environmental temperature rate decreases faster than the American Meteorological Society, cited 2019: Air parcel. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Air_parcel.]" class="glossaryLink">air parcel’s American Meteorological Society, cited 2019: Moist adiabatic lapse rate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Moist-adiabatic_lapse_rate.]" class="glossaryLink">moist adiabatic lapse rate. This leads to atmospheric American Meteorological Society, cited 2020: Instability. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Instability.]" class="glossaryLink">instability. In an atmospheric sounding, the LFC can be found where the American Meteorological Society, cited 2019: Moist adiabatic lapse rate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Moist-adiabatic_lapse_rate.]" class="glossaryLink">moist adiabatic lapse rate of the rising parcel returns to the buoyant or warmer side of the environmental temperature. American Meteorological Society, cited 2019: Level of neutral buoyancy. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Level_of_neutral_buoyancy.]" class="glossaryLink">Equilibrium Level (EL) is the height in the atmosphere where the temperature of the rising American Meteorological Society, cited 2019: Air parcel. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Air_parcel.]" class="glossaryLink">air parcel is the same 410 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL as the temperature of its surroundings. The EL caps the atmospheric American Meteorological Society, cited 2020: Instability. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Instability.]" class="glossaryLink">instability. This is where the American Meteorological Society, cited 2019: Moist adiabatic lapse rate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Moist-adiabatic_lapse_rate.]" class="glossaryLink">moist adiabatic lapse rate returns to the negatively buoyant colder side of the environmental temperature. This is also where the anvil top of the American Meteorological Society, cited 2020: Thunderstorm. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Thunderstorm.]" class="glossaryLink">thunderstorm is typically located. American Meteorological Society, cited 2019: Convective Inhibition. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Convective_inhibition.]" class="glossaryLink">Convective Inhibition (CIN) is the amount of American Meteorological Society, cited 2019: Energy. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Energy.]" class="glossaryLink">energy that prevents a rising American Meteorological Society, cited 2019: Air parcel. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Air_parcel.]" class="glossaryLink">air parcel from reaching the American Meteorological Society, cited 2019: Level of Free Convection. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ ATMO 200 • 411 Level_of_free_convection.]" class="glossaryLink">level of free convection. On a thermodynamic diagram (Skew-T Log-P), it is the negative area between the environmental American Meteorological Society, cited 2019: Lapse rate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Lapse_rate.]" class="glossaryLink">lapse rate and the American Meteorological Society, cited 2019: Air parcel. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Air_parcel.]" class="glossaryLink">air parcel American Meteorological Society, cited 2019: Lapse rate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Lapse_rate.]" class="glossaryLink">lapse rate. CIN must be overcome for CAPE to be realized. American Meteorological Society, cited 2019: Convective Available Potential Energy. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Convective_available_potential_energy.]" class="glossaryLink">Convective Available Potential Energy (CAPE) is the amount of American Meteorological Society, cited 2019: Energy. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Energy.]" class="glossaryLink">energy an American Meteorological Society, cited 2019: Air parcel. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Air_parcel.]" class="glossaryLink">air parcel would have if lifted vertically through the atmosphere over a particular distance. It is an indicator of atmospheric American Meteorological Society, cited 2020: Instability. Glossary of 412 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Instability.]" class="glossaryLink">instability. On a thermodynamic diagram (Skew-T Log-P), CAPE can be found by the positive area between the environmental American Meteorological Society, cited 2019: Lapse rate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Lapse_rate.]" class="glossaryLink">lapse rate and the American Meteorological Society, cited 2019: Air parcel. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Air_parcel.]" class="glossaryLink">air parcel American Meteorological Society, cited 2019: Lapse rate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Lapse_rate.]" class="glossaryLink">lapse rate. It is an integrated measure of the total amount of buoyancy available to a rising American Meteorological Society, cited 2019: Air parcel. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Air_parcel.]" class="glossaryLink">air parcel. CAPE can be used to estimate the maximum updraft velocity in thunderstorms. While the above equation gives a good estimate, the updraft velocity equation typically gives an unrealistically high value as it ignores many important processes. For example, dry air entrainment, liquid-water loading, and frictional drag are ignored. Observational studies find that the typical updraft velocity is roughly half of the maximum updraft velocity value. ATMO 200 • 413 Thunderstorms are important features of Earth’s atmospheric system. It is safe to say that there is always a American Meteorological Society, cited 2020: Thunderstorm. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Thunderstorm.]" class="glossaryLink">thunderstorm occurring somewhere on Earth at all times. In many places, thunderstorms provide needed rain and are an important piece of the hydrological cycle. However, thunderstorms can also be hazardous and impacts will be discussed in the following chapter. Chapter 14: Questions to Consider 1. Label the typical lifecycle of a single cell American Meteorological Society, cited 2020: Thunderstorm. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Thunderstorm.]" class="glossaryLink">thunderstorm: An interactive or media element has been excluded from this version of the text. You can view it online here: 414 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL http://pressbooks-dev.oer.hawaii.edu/ atmo/?p=403 2. Describe the importance of updraft separation from the downdraft and American Meteorological Society, cited 2020: Precipitation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Precipitation.]" class="glossaryLink">precipitation portion of a American Meteorological Society, cited 2020: Thunderstorm. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Thunderstorm.]" class="glossaryLink">thunderstorm. 3. An interactive or media element has been excluded from this version of the text. You can view it online here: http://pressbooks-dev.oer.hawaii.edu/ atmo/?p=403 4. An interactive or media element has been excluded from this version of the text. You can view it online here: ATMO 200 • 415 http://pressbooks-dev.oer.hawaii.edu/ atmo/?p=403 5. With a CAPE of 1280 J/kg, calculate the likely updraft velocity. 6. Describe the importance of American Meteorological Society, cited 2020: Wind Shear. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Wind_shear.]" class="glossaryLink">wind shear for thunderstorms. Selected Practice Question Answers: An interactive or media element has been excluded from this version of the text. You can view it online here: http://pressbooks-dev.oer.hawaii.edu/ atmo/?p=403 Chapter 15: Thunderstorm Hazards ALISON NUGENT AND DAVID DECOU Learning Objectives By the end of this chapter, you should be able to: 1. Identify the different types of American Meteorological Society, cited 2020: Precipitation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Precipitation.]" class="glossaryLink">precipitation (rain, snow, American Meteorological Society, cited 2020: Graupel. Glossary of 416 ATMO 200 • 417 Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Graupel.]" class="glossaryLink">graupel, hail, etc.) 2. Describe how hail forms and why it is difficult to predict 3. Summarize how American Meteorological Society, cited 2020: Lightning. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Lightning.]" class="glossaryLink">lightning occurs with respect to American Meteorological Society, cited 2020: Thunderstorm. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Thunderstorm.]" class="glossaryLink">thunderstorm ice processes 4. Discuss the various types of hazards from thunderstorms (gust fronts and outflow winds, American Meteorological Society, cited 2020: Precipitation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Precipitation.]" class="glossaryLink">precipitation, American Meteorological Society, cited 2020: Thunder. Glossary of Meteorology. 418 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL [Available online at http://glossary.ametsoc.org/wiki/ Thunder.]" class="glossaryLink">thunder and American Meteorological Society, cited 2020: Lightning. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Lightning.]" class="glossaryLink">lightning, tornadoes) 5. Identify radar hook echoes that suggest tornado hazards and discuss the process of warning the public about a tornado threat Lightning interacts with a tornado in Texas (CC BY-SA 4.0). ATMO 200 • 419 Introduction A American Meteorological Society, cited 2020: Thunderstorm. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Thunderstorm.]" class="glossaryLink">thunderstorm is generally defined as any storm that has American Meteorological Society, cited 2020: Thunder. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Thunder.]" class="glossaryLink">thunder and lighting. In fact, a climatological American Meteorological Society, cited 2020: Thunderstorm. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Thunderstorm.]" class="glossaryLink">thunderstorm day is defined as any day on which American Meteorological Society, cited 2020: Thunder. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Thunder.]" class="glossaryLink">thunder is audible from an observing station, and American Meteorological Society, cited 2020: Precipitation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Precipitation.]" class="glossaryLink">precipitation is not a required element. However, thunderstorms almost always produce American Meteorological Society, cited 2020: Precipitation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Precipitation.]" class="glossaryLink">precipitation along with the required American Meteorological Society, cited 2020: Thunder. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Thunder.]" class="glossaryLink">thunder and American Meteorological 420 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Society, cited 2020: Lightning. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Lightning.]" class="glossaryLink">lightning, and many other aspects that can be hazardous. Thunderstorms can produce damaging surface winds, hail, heavy rain, and even extreme phenomena like tornadoes. People are often most interested in the damaging aspects of severe American Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Weather.]" class="glossaryLink">weather, as these most directly impact human activity, and often produce beautiful and terrifying visual displays. The hazardous American Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Weather.]" class="glossaryLink">weather associated with thunderstorms will be the topic of this chapter. Precipitation and Hail Thunderstorms consist of deep convective clouds that can produce large raindrops (2–8 mm diameter) within 5–10 km wide rain shafts that move horizontally across the ground with American Meteorological Society, cited 2020: Precipitation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Precipitation.]" class="glossaryLink">precipitation that last from 1–20 minutes over a fixed point. The rainfall rate may be heavy, as much as 10 to 1000 mm of rain per hour. The below photo depicts heavy rain shafts produced by a American Meteorological Society, cited 2020: Supercell. Glossary of Meteorology. [Available online at ATMO 200 • 421 http://glossary.ametsoc.org/wiki/Supercell.]" class="glossaryLink">supercell American Meteorological Society, cited 2020: Thunderstorm. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Thunderstorm.]" class="glossaryLink">thunderstorm in Montana. A supercell thunderstorm in Montana (CC BY 2.0). The cloud tops of thunderstorms extend far up in the troposphere. In the upper parts of the clouds, ice-phase processes occur. Throughout the cloud, different sizes of ice crystals and water droplets exist, and the heavier hydrometeors fall faster than the smaller ones, sometimes colliding and collecting each other. If these heavier ice particles fall through regions of supercooled droplets (liquid water droplets below freezing), they may grow through a process called riming. The liquid water droplets instantly freeze and adhere on contact to the outside surface of falling ice particles. This forms snow pellets called American Meteorological Society, cited 2020: Graupel. 422 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Graupel.]" class="glossaryLink">graupel, which are less than 5 mm in diameter. Fallen American Meteorological Society, cited 2020: Graupel. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Graupel.]" class="glossaryLink">graupel is pictured below. Graupel pellets on a car roof (CC BY 3.0). Alternatively, smaller ice crystals that fall just below the 0°C level may partially melt and stick to other partially melted ice crystals through collision, causing them to grow through American Meteorological Society, cited 2020: Aggregation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Aggregation.]" class="glossaryLink">aggregation. These snow aggregates can grow as large as 1 cm in diameter. Snow aggregates and American Meteorological Society, cited 2020: Graupel. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Graupel.]" class="glossaryLink">graupel can sometimes reach the ground still frozen or partially frozen, even in the summer, if they fall within cooler, saturated downdrafts. More frequently, these ATMO 200 • 423 larger ice particles will melt completely into large raindrops before hitting the ground. American Meteorological Society, cited 2020: Hailstones. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Hailstones.]" class="glossaryLink">Hailstones are irregularly shaped balls of ice larger than 0.5 cm in diameter that are produced in a cumulonimbus cloud—particularly in intense, severe thunderstorms. Hail is formed when American Meteorological Society, cited 2020: Graupel. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Graupel.]" class="glossaryLink">graupel or other particles act as embryos that grow through the American Meteorological Society, cited 2020:Accretion. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Accretion.]" class="glossaryLink">accretion of supercooled liquid droplets in a cloud. One raindrop takes about one million cloud droplets to form, but a single hailstone may take as many as 10 billion cloud droplets to form. A golf ball-sized hailstone, as pictured below, must travel through the cloud for 5–10 minutes to be able to grow to this size. Strong, violent updrafts within the storm are able to carry smaller ice particles far above the freezing level where collisions with supercooled droplets allow them to grow into American Meteorological Society, cited 2020: Hailstones. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Hailstones.]" class="glossaryLink">hailstones. Rotating updrafts, such as those found in a American Meteorological Society, cited 2020: Supercell. Glossary of Meteorology. [Available online at 424 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL http://glossary.ametsoc.org/wiki/Supercell.]" class="glossaryLink">supercell, are capable of sweeping hail horizontally through the storm, which may allow them to grow much larger. As these growing ice particles pass through areas of the cloud with high liquid water content, extra coatings of ice form around them. Larger American Meteorological Society, cited 2020: Hailstones. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Hailstones.]" class="glossaryLink">hailstones may ascend very slowly in a strong updraft, almost “floating” in place as many supercooled water droplets continue to collide into them. When the hailstone is carried away from the updraft, or if it gets too heavy, it will fall because it is no longer supported by the rising air. Just below the cloud, the American Meteorological Society, cited 2020: Hailstones. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Hailstones.]" class="glossaryLink">hailstones will begin to melt in the warmer air. Small hail might completely melt before hitting the ground, but in the strong updrafts of severe thunderstorms, American Meteorological Society, cited 2020: Hailstones. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Hailstones.]" class="glossaryLink">hailstones can grow large enough to reach the surface before melting. Notice in the figure below that the hailstone has concentric layers inside, similar to tree rings. The concentric layers alternate clear and opaque ice. This is related to the path that the hailstone takes when it passes through the cloud, as well as the liquid water content of the different areas the hailstone passes through. In areas with low liquid water ATMO 200 • 425 content (dry growth regime), supercooled water droplets freeze onto the hailstone instantly, which produces the milky opaque ice that contains many air bubbles. In areas with high liquid water content (wet growth regime), supercooled water droplets collect very rapidly onto the hailstone. The transition from liquid to ice releases American Meteorological Society, cited 2019: Latent heat. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Latent_heat.]" class="glossaryLink">latent heat, which keeps the surface temperature of the hailstone at 0°C. As a result, supercooled droplets will form a coat of water around the stone rather than freezing instantly. This allows porous areas to be filled in as the water coat freezes slowly and air bubbles escape from the surface. This leaves a layer of clear ice around the hailstone. Golf ball sized hail cut in half so the inside concentric layers can be viewed (Public Domain). Large hail can cause severe damage to crops, vegetation, 426 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL aircraft, roofs, windows, and create a traffic hazard if American Meteorological Society, cited 2020: Hailstones. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Hailstones.]" class="glossaryLink">hailstones accumulate on a roadway. Damage can be greater if the strong winds in a American Meteorological Society, cited 2020: Thunderstorm. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Thunderstorm.]" class="glossaryLink">thunderstorm cause American Meteorological Society, cited 2020: Hailstones. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Hailstones.]" class="glossaryLink">hailstones to move horizontally as they fall. Larger American Meteorological Society, cited 2020: Hailstones. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Hailstones.]" class="glossaryLink">hailstones have higher terminal fall velocities and the potential to reach speeds higher than 50 m·s-1 (112 mph). Gust Fronts Gusts fronts were already discussed in the prior chapter, but we’ll include a section here as well. Recall that mature thunderstorms contain both updrafts of warm, buoyant moist air as well as downdrafts of chilled, dry, dense air. Downdrafts are the result of a combination of evaporative cooling, American Meteorological Society, cited 2020: Precipitation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Precipitation.]" class="glossaryLink">precipitation drag, and dry air entrainment into the cloud. With the onset of ATMO 200 • 427 American Meteorological Society, cited 2020: Precipitation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Precipitation.]" class="glossaryLink">precipitation in a mature American Meteorological Society, cited 2020: Thunderstorm. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Thunderstorm.]" class="glossaryLink">thunderstorm, there is often a downward rush of cold air. As this cold air hits the surface, it spreads out along the surface in all directions. This surface boundary between the cold horizontally rushing air and the warmer air around it is called the American Meteorological Society, cited 2020: Gust Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Gust_front.]" class="glossaryLink">gust front. Along this boundary, winds rapidly change both in direction and speed. The American Meteorological Society, cited 2020: Gust Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Gust_front.]" class="glossaryLink">gust front is the leading edge of the outflowing cold air at the surface, and resembles a mini cold American Meteorological Society, cited 2020: Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Front.]" class="glossaryLink">front to surface observers. If the American Meteorological Society, cited 2020: Gust Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Gust_front.]" class="glossaryLink">gust front of an advancing American Meteorological Society, cited 2020: Thunderstorm. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Thunderstorm.]" class="glossaryLink">thunderstorm were 428 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL to pass by you, you would experience a sharp drop in temperature accompanied by a shift in wind direction and an increase in wind speeds, which may occasionally exceed 55 knots. The air is extremely turbulent along the leading edge of the American Meteorological Society, cited 2020: Gust Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Gust_front.]" class="glossaryLink">gust front. As the cold air pushes warm, moist air upward along the boundary, a American Meteorological Society, cited 2020: Shelf Cloud. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Shelf_cloud.]" class="glossaryLink">shelf cloud (or arcus cloud) may form, as shown in the below figure. A shelf cloud, or arcus cloud, on the edge of a gust front (CC BY-SA 3.0). When the atmosphere is conditionally unstable, the American ATMO 200 • 429 Meteorological Society, cited 2020: Gust Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Gust_front.]" class="glossaryLink">gust front may produce additional multicell thunderstorms along its leading edge as it forces warm, moist air upward. Each of these additional thunderstorms will each have their own American Meteorological Society, cited 2020: Gust Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Gust_front.]" class="glossaryLink">gust front, which may merge together into a large American Meteorological Society, cited 2020: Gust Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Gust_front.]" class="glossaryLink">gust front known as an American Meteorological Society, cited 2020: Outflow Boundary. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Outflow_boundary.]" class="glossaryLink">outflow boundary. Downbursts and Microbursts Under a severe American Meteorological Society, cited 2020: Thunderstorm. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Thunderstorm.]" class="glossaryLink">thunderstorm, the downdraft may become narrow, intense, and localised. As it reaches the surface, it may spread radially along the ground in a burst of wind—similar to water rushing from a faucet and hitting the bottom of the sink. This sort of downdraft is called a 4 km are termed macrobursts. American Meteorological Society, cited 2020: Downburst. 430 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Downburst.]" class="glossaryLink">downburst. A short 4 km are termed macro-bursts. American Meteorological Society, cited 2020: Downburst. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Downburst.]" class="glossaryLink">downburst, with winds of 4 km or less, is called a American Meteorological Society, cited 2020: Microburst. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Microburst.]" class="glossaryLink">microburst. Despite being small spatially, a strong American Meteorological Society, cited 2020: Microburst. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Microburst.]" class="glossaryLink">microburst can contain powerful winds up to 146 knots with the capacity to down trees and heavily damage weak structures and boats. Some damage caused by microbursts may have been incorrectly attributed to tornadoes. In addition, American Meteorological Society, cited 2020: Wind Shear. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Wind_shear.]" class="glossaryLink">wind shear, turbulence, and gusts associated with microbursts have been responsible for several airplane crashes. Microbursts are often associated with severe thunderstorms but have also been known to occur with ordinary cell thunderstorms and even clouds that produce only scattered showers. ATMO 200 • 431 Cross-section of a microburst (Public Domain). Lightning American Meteorological Society, cited 2020: Lightning. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Lightning.]" class="glossaryLink">Lightning is caused by a discharge of electricity that typically occurs in mature thunderstorms. American Meteorological Society, cited 2020: Lightning. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Lightning.]" class="glossaryLink">Lightning can strike within the same cloud, from one cloud to another, from a cloud to open air, or from cloud to ground. Only about 20% of American Meteorological Society, cited 2020: Lightning. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Lightning.]" class="glossaryLink">lightning strikes are cloud-to-ground (CG) strikes, while the majority of strikes occur within the cloud (CC). As a American Meteorological Society, cited 2020: Lightning. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Lightning.]" 432 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL class="glossaryLink">lightning stroke travels through the atmosphere, it heats the surrounding air to a staggering 30,000°C, which is roughly five times hotter than the surface of the sun. This incredible heating causes a sudden, explosive expansion of the air, generating a shock wave in all directions from the flash. This booms outward in the form of a sound wave called American Meteorological Society, cited 2020: Thunder. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Thunder.]" class="glossaryLink">thunder. Due to the speed that light travels, we see American Meteorological Society, cited 2020: Lightning. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Lightning.]" class="glossaryLink">lightning instantly as it happens. American Meteorological Society, cited 2020: Thunder. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Thunder.]" class="glossaryLink">Thunder travels much more slowly at about 330 m·s-1 so it takes much longer to reach our ears. You can estimate how distant a American Meteorological Society, cited 2020: Lightning. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Lightning.]" class="glossaryLink">lightning stroke is by counting the seconds after you see the flash until you hear the American Meteorological Society, cited 2020: Thunder. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Thunder.]" class="glossaryLink">thunder. It takes sound about 5 seconds to travel one mile. If you hear American Meteorological Society, cited 2020: Thunder. Glossary of ATMO 200 • 433 Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Thunder.]" class="glossaryLink">thunder roughly 10 seconds after you see the American Meteorological Society, cited 2020: Lightning. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Lightning.]" class="glossaryLink">lightning flash, then the strike occurred about 2 miles away. However, if the American Meteorological Society, cited 2020: Lightning. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Lightning.]" class="glossaryLink">lightning is too far, you may not hear any American Meteorological Society, cited 2020: Thunder. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Thunder.]" class="glossaryLink">thunder, because sound waves attenuate and bend as they travel through the atmosphere, especially through layers of differing air temperature. Lightning during a desert storm (CC 0). 434 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Why do we have American Meteorological Society, cited 2020: Lightning. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Lightning.]" class="glossaryLink">lightning? During ordinary fair American Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Weather.]" class="glossaryLink">weather conditions, the earth’s surface has negative charge, while the upper atmosphere is positively charged. American Meteorological Society, cited 2020: Lightning. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Lightning.]" class="glossaryLink">Lightning requires differing regions of opposite charge inside a cumulonimbus cloud. There are several theories as to how this separation of charge may come about. One theory is that clouds can become electrified when American Meteorological Society, cited 2020: Graupel. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Graupel.]" class="glossaryLink">graupel and American Meteorological Society, cited 2020: Hailstones. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Hailstones.]" class="glossaryLink">hailstones fall through areas of supercooled droplets, causing the droplets to freeze and release American Meteorological Society, cited 2019: Latent heat. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Latent_heat.]" class="glossaryLink">latent heat. This release of American Meteorological Society, cited 2019: Latent heat. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Latent_heat.]" class="glossaryLink">latent heat keeps the ATMO 200 • 435 hailstone surface warmer than the surrounding ice particles. A net transfer of positive ions (molecules that carry a charge) occurs from the warmer hailstone to the colder surrounding ice crystals when they come in contact. Therefore, the larger, warmer hailstone becomes negatively charged and the smaller, cooler ice crystal becomes positively charged. This also happens when supercooled liquid droplets freeze when they come into contact with a warmer hailstone and little fragments of positively charged ice break off. These tiny positively-charged particles are easily swept to the upper regions of the cloud through updrafts. The larger, heavier, negatively-charged American Meteorological Society, cited 2020: Hailstones. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Hailstones.]" class="glossaryLink">hailstones tend to remain suspended at the same level in the updraft or fall to the lower parts of the cloud. This causes the colder upper regions of the cloud to have a net positive charge, while the middle level of the cloud has negative charge. The lowest portion of the cloud generally has a mixture of negative and positive charges, with a positively charged region occasionally present in American Meteorological Society, cited 2020: Precipitation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Precipitation.]" class="glossaryLink">precipitation bands near the melting level. In short, thunderstorms must have ice phase processes to produce American Meteorological Society, cited 2020: Thunder. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Thunder.]" 436 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL class="glossaryLink">thunder and American Meteorological Society, cited 2020: Lightning. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Lightning.]" class="glossaryLink">lightning—American Meteorological Society, cited 2020: Lightning. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Lightning.]" class="glossaryLink">lightning is produced from a discharge of electricity and American Meteorological Society, cited 2020: Thunder. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Thunder.]" class="glossaryLink">thunder is simply produced as a result of the American Meteorological Society, cited 2020: Lightning. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Lightning.]" class="glossaryLink">lightning. Tornadoes Recall from the prior chapter that American Meteorological Society, cited 2020: Supercell. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Supercell.]" class="glossaryLink">supercell storms can produce tornados. A American Meteorological Society, cited 2020: Supercell. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Supercell.]" class="glossaryLink">supercell is a severe American Meteorological Society, cited 2020: Thunderstorm. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Thunderstorm.]" class="glossaryLink">thunderstorm with rotation. Typically the rotation of a American Meteorological ATMO 200 • 437 Society, cited 2020: Supercell. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Supercell.]" class="glossaryLink">supercell American Meteorological Society, cited 2020: Thunderstorm. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Thunderstorm.]" class="glossaryLink">thunderstorm comes from directional American Meteorological Society, cited 2020: Wind Shear. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Wind_shear.]" class="glossaryLink">wind shear in the environment. Occasionally a American Meteorological Society, cited 2020: Supercell. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Supercell.]" class="glossaryLink">supercell storm produces a tornado, a region of rapidly rotating air in cyclostrophic balance. Recall from Chapter 10 that cyclostrophic balance is a balance between the American Meteorological Society, cited 2020: Pressure Gradient Force. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Pressure-gradient_force.]" class="glossaryLink">pressure gradient force and the American Meteorological Society, cited 2020: Centrifugal Force. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Centrifugal_force.]" class="glossaryLink">centrifugal force. As the rotating air motion in a American Meteorological Society, cited 2020: Supercell. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Supercell.]" class="glossaryLink">supercell is vertically stretched, it narrows and speeds up. To picture this, imagine a figure skater pulling their arms inward as they spin. Their diameter narrows and their rotation speed increases. The same 438 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL physics—conservation of angular momentum—occurs as a tornado forms. An EF 4 Tornado in Marquette, Kansas (Public Domain). Tornados are difficult to forecast well in advance. Typically a Tornado Watch will be issued by a Storm Prediction Center when all of the ingredients for a tornado are present in the atmosphere. These ingredients are the same as for a severe American Meteorological Society, cited 2020: Thunderstorm. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Thunderstorm.]" class="glossaryLink">thunderstorm: warm moist air; American Meteorological Society, cited 2020: Instability. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Instability.]" class="glossaryLink">instability (quantified by large values of CAPE); potential for a trigger; and, of course, directional American Meteorological Society, cited 2020: Wind Shear. Glossary of Meteorology. [Available online at ATMO 200 • 439 http://glossary.ametsoc.org/wiki/Wind_shear.]" class="glossaryLink">wind shear to provide rotation. A Tornado Warning is issued when a tornado is imminent or occurring. For example, one may be issued when a funnel cloud is spotted or when a “American Meteorological Society, cited 2020: Hook Echo. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Hook_echo.]" class="glossaryLink">hook echo” is seen on radar. The issue of forecasting tornados is called “nowcasting”. Although very little advance notice can be given to the public, forecasters do their best to provide as much notice as possible. Hook echo in a radar image (Public Domain). The above image shows a American Meteorological Society, cited 2020: Hook Echo. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Hook_echo.]" 440 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL class="glossaryLink">hook echo from radar. The key feature is the bottom left region of the storm where a region of rain can be seen rapping around a region of dry inflow air. Right at the cusp of the hook is where a tornado would form if it were occurring. The strong rotation in a tornado creates this radar signature. Tornado strength is categorized after they occur. A scale called the Enhanced-Fujita scale is used to classify tornado strength based on the amount of damage that was caused. While the wind speed for each step in the EF scale is given, it is not measured. The wind speed is determined afterwards by the scale of damage and the winds required to cause the damage. Enhanced Fujita Scale Scale Wind Speed (3 sec. gust, mph) Damage EF0 65-85 Minor EF1 86-110 Moderate EF2 111-135 Considerable EF3 136-165 Severe EF4 166-200 Extreme EF5 >200 Massive/ Incredible The central US is the world’s hot-spot for tornados, however, tornados and tornado-like storm features can occur elsewhere. A dust devil and a waterspout are tornado-like features that are associated with American Meteorological Society, cited 2019: Cumuliform. Glossary of Meteorology. [Available online at ATMO 200 • 441 http://glossary.ametsoc.org/wiki/Cumuliform.]" class="glossaryLink">cumuliform and sometimes cumulonimbus clouds. However, dust devils and waterspouts typically are not associated with a American Meteorological Society, cited 2020: Supercell. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Supercell.]" class="glossaryLink">supercell. Waterspouts look like tornados but form over water surfaces. Waterspouts are often narrow, relatively short lived, and formed by the same physics as a tornado—a rotating updraft with condensation in the funnel cloud. Below is an image of a waterspout observed in Hawaii off the coast of Oahu. Waterspout spotted off O’ahu’s southern shore (Taken on May 2, 2011, by Staff Sgt. Mike Meares). Keeping Yourself Safe From reading this storm hazards chapter, hopefully you’ve 442 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL learned that severe storms and storm hazards should be taken seriously. Part of the issue with severe American Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Weather.]" class="glossaryLink">weather forecasting is that the impacts are often extremely localized. It is difficult to know if you will be in the exact location that hail will fall or a tornado will pass. Oftentimes, you’ll simply be aware that the possibility is there for storm impacts. Therefore, it is important to take precautions, regardless of whether you are in the right place at the wrong time. For example, here are a few simple steps you can follow: • “Turn around, don’t drown” is the saying from the National American Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Weather.]" class="glossaryLink">Weather Service. If you see flowing water over a roadway, don’t drive over it! • If there is a possibility for thunderstorms, don’t go hiking or do outdoor activities near streams or rivers. Flash flooding is a possibility. • Similarly, if there is a possibility for thunderstorms, don’t put yourself in an exposed outdoor location. As soon as you hear American Meteorological Society, cited 2020: Thunder. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Thunder.]" class="glossaryLink">thunder, a American Meteorological Society, cited 2020: ATMO 200 • 443 Thunderstorm. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Thunderstorm.]" class="glossaryLink">thunderstorm is close enough to be a hazard. Get yourself off of that open sports field, beach, or stadium, and into a shelter until it passes. • If a tornado is approaching, the safest place is inside the interior room in your house (unless you have a tornado cellar). Get in your closet or your bathtub with a mattress or something to cover you. Depending on where you live in the world, some hazards are more likely than others. Still, it is important to think in advance about what you would do if you were in a severe storm situation. Oftentimes there isn’t a lot of time to react. Chapter 15: Questions to Consider 1. Why does hail have concentric layers that alternate clear and opaque ice? 2. An interactive or media element has been excluded from this version of the text. You can view it online here: http://pressbooks-dev.oer.hawaii.edu/ atmo/?p=417 444 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL 3. An interactive or media element has been excluded from this version of the text. You can view it online here: http://pressbooks-dev.oer.hawaii.edu/ atmo/?p=417 4. *FLASH* You saw a American Meteorological Society, cited 2020: Lightning. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Lightning.]" class="glossaryLink">lightning stroke! 15 seconds go by… *BOOM* You heard American Meteorological Society, cited 2020: Thunder. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Thunder.]" class="glossaryLink">thunder! How far away was the American Meteorological Society, cited 2020: Lightning. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Lightning.]" class="glossaryLink">lightning stroke? 5. An interactive or media element has been excluded from this version of the ATMO 200 • 445 text. You can view it online here: http://pressbooks-dev.oer.hawaii.edu/ atmo/?p=417 6. Bob just finished reading this chapter and wants to practice sheltering in the event of a tornado warning. Can you help him find the safest place to shelter in his house? (Drag Bob to the correct room.) An interactive or media element has been excluded from this version of the text. You can view it online here: http://pressbooks-dev.oer.hawaii.edu/ atmo/?p=417 Selected Practice Question Answers: An interactive or media element has been excluded from this version of the text. You can view it online here: http://pressbooks-dev.oer.hawaii.edu/ atmo/?p=417 Chapter 22: Atmospheric Optics Learning Objectives By the end of this chapter, you should be able to: 1. Explain why the sky is blue and clouds are white 2. Discuss why lots of rainbows are seen on Hawai’i 3. Describe how one can observe a rainbow 4. Determine from visibility whether objects are close or far away 446 ATMO 200 • 447 Rainbow over the Ala Wai Canal (Photo by Shintaro Russell). Introduction The color of our world is defined by the interaction of objects with light. In fact, the reason we can see anything at all is due to the interactions of objects with light. Light can be thought of as both a particle and a wave. In this chapter, we’ll consider light only as a wave defined by some wavelength on the electromagnetic spectrum. Recall the electromagnetic American Meteorological Society, cited 2019: Energy. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Energy.]" class="glossaryLink">energy spectrum from Chapter 2 with the visible portion near the center between ultraviolet and infrared: 448 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL The electromagnetic energy spectrum showing the wavelength of colors (CC BY-NC-ND 2.0). Notice that blue and purple colors have a relatively short wavelength (~400 nm) and orange and red have a relatively long wavelength (~700 nm). While slight, this difference makes a large difference in the interaction of light with particles in our atmosphere. Before we begin, let’s define a few important facts that will help us to understand the following material. 1. White light contains all colors. Light from the sun is considered white light. 2. The color an object appears to be is due to reflection of that color toward your eye. For example, a green leaf looks green because it absorbs red and blue light, but reflects the wavelength of light that is green. Based on this simple description, we can say that the sky appears to be blue because the molecules in the atmosphere reflect blue ATMO 200 • 449 light. But why do they reflect blue light more than red light? This has to do with the relative sizes of the molecules and the wavelengths of light interacting with them. In general, there are three different laws regarding wavelength and interaction with particles. We’ll define λ as the wavelength of light, and d as the diameter of the molecule or particle. When the wavelength of light is much much larger than the diameter of the molecule or particle, American Meteorological Society, cited 2020: Rayleigh Scattering. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Rayleigh_scattering]" class="glossaryLink">Rayleigh scattering is dominant. > d \end{align*}" title="Rendered by QuickLaTeX.com"> When the wavelength of light is within an order or two of magnitude as the diameter of the molecule or particle, American Meteorological Society, cited 2020: Mie Scattering. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Mie_scattering.]" class="glossaryLink">Mie scattering is dominant. Finally, when the wavelength of light is much much smaller than the diameter of the molecule or particle, American Meteorological Society, cited 2020: Geometric Optics. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ 450 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL wiki/Geometric_optics.]" Optics is dominant. class="glossaryLink">Geometric Rayleigh Scattering American Meteorological Society, cited 2020: Rayleigh Scattering. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Rayleigh_scattering]" class="glossaryLink">Rayleigh scattering is the reason the sky is blue. American Meteorological Society, cited 2020: Rayleigh Scattering. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Rayleigh_scattering]" class="glossaryLink">Rayleigh scattering occurs when the wavelength of visible light is much much larger than the particles it is interacting with. Such is the case with the tiny molecules in Earth’s atmosphere. The amount of scattering, “S”, is proportional to: Because this relationship is dependent on wavelength (λ), shorter wavelengths will be scattered more. Purple and blue light have a shorter wavelength than orange and red light and are therefore scattered more, accounting for the blue color of Earth’s atmosphere. ATMO 200 • 451 Mie Scattering American Meteorological Society, cited 2020: Mie Scattering. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Mie_scattering.]" class="glossaryLink">Mie scattering is the reason clouds are white. American Meteorological Society, cited 2020: Mie Scattering. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Mie_scattering.]" class="glossaryLink">Mie scattering occurs when the wavelength of visible light is approximately the same as the particle or droplet diameter (within a factor of 10 or 100). When this is true, all wavelengths of visible light are scattered roughly equally. In this case, the color illuminating is the same color reflecting. In the case of clouds, they appear white because white light is coming from the sun and illuminating them. Geometric Optics Finally, American Meteorological Society, cited 2020: Geometric Optics. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Geometric_optics.]" class="glossaryLink">geometric optics is responsible for rainbows. A beam of light is called a ray. The tracing of the ray path through a raindrop is called American Meteorological Society, cited 2020: Geometric Optics. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Geometric_optics.]" class="glossaryLink">geometric optics and helps us to understand how and why rainbows form. When light comes in contact with a density interface, for example air 452 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL and water, it can reflect or refract. Refraction is responsible for everyday conundrums like the following image. Refraction of light at an air-water interface due to the difference in density between the two media (CC BY-NC 2.0). Refraction occurs when rays bend at a density interface. ATMO 200 • 453 Reflection occurs when rays bounce back from an object. These two phenomenon are responsible for why we can see atmospheric optical phenomena such as rainbows, halos, and sundogs. Here we will focus only on rainbows, the American Meteorological Society, cited 2020: Geometric Optics. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Geometric_optics.]" class="glossaryLink">geometric optics occurring in liquid rain drops. Diagram showing angle of incidence, reflection, and refraction of a ray of light (Public Domain). As a light ray makes contact with an interface between two media with different densities like air and water, some of the incoming (incident) light will either refract from the air into the water, reflect back into the air, or absorb into heat. In the case of light interaction with a rain drop, we have a combination of refraction and reflection. A single rainbow has two refractions 454 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL and one reflection, and the second rainbow seen in a double rainbow has two refractions and two reflections. The top right image of the following figure shows the interaction of light with a rain drop responsible for a single rainbow. Light comes in contact with a rain drop, refracts as it enters the rain drop, reflects off the back side of the rain drop, and refracts again as it exits the rain drop. The two refractions result in a splitting of the colors of light, like a prism. This is because refraction of light is dependent on wavelength; shorter wavelengths refract more than longer wavelengths. ATMO 200 • 455 The formation of a rainbow with light propagation. Legend: 1.) Spherical droplet 2.) Places where internal reflection of the light occurs 3.) Primary rainbow 4.) Places where refraction of the light occurs 5.) Secondary rainbow 6.) Incoming beams of white light 7.) Path of light contributing to primary rainbow 8.) Path of light contributing to secondary rainbow 9.) Observer 10.) Region forming the primary rainbow 11.) Region forming the secondary rainbow 12.) Zone in the atmosphere holding countless tiny spherical droplets (CC BY-SA 3.0). Put concisely, a rainbow is an atmospheric phenomenon 456 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL displaying a spectrum of light as a result of refraction of light in water droplets. This is possible because the wavelength of light is much much smaller than the size of the rain drop. Primary rainbows have red on the outside of the circle and purple on the inside. There is always a 42° angle between the incident light, the primary rainbow, and the observer. This constant angle can be seen in the above figure. At a given time, rainbows appear different to different observers because of different interaction between incoming light rays and water droplets. For instance, one observer may see a well-defined rainbow in an area of large rain drops and bright sun. Another observer in a half kilometer away with smaller rain drops may see a partial rainbow. Secondary rainbows are outer rainbows with red on the inside of the circle and purple on the outside because of the double reflection. Secondary rainbows occur at a 52° angle, hence secondary rainbows are higher than primary rainbows. They’re not as bright as primary rainbows, also because of the double reflection. Triple rainbows are also possible and have been observed, but are much less frequent. ATMO 200 • 457 Double rainbow in a stormy sky. Notice how the colors are flipped in the two rainbows, and how the secondary rainbow is not as bright as the primary rainbow (Photo by Shintaro Russell). How to see Rainbows The best chance of seeing a rainbow is when there is rain and sun low in the sky at the same time. An observer may see a rainbow if the sun is at the observer’s back and they are facing towards a region that is raining. As the sun lowers in the sky, the height of the rainbow will increase because of the constant 42° angle. Rainbows cannot be seen on the ground at noon because a 42° angle is not possible. Rainbows appear as half arcs only because the ground typically blocks the other half. Rainbows are frequent in Hawai’i because of the abundant sunlight and frequent rain. 458 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Visibility Visibility is the final topic on the interaction of light with particles in Earth’s atmosphere covered in this chapter. In general, the topic of visibility is simply a question of what can be seen and how far away it is. When someone says that the visibility today is 10 miles, it means that one can see objects 10 miles away. In the Arctic, where the air is extremely dry and clean, visibility of 100 miles (161 km) is common. On the other end, when you cannot see objects 100 meters (~330 ft) away this is referred to as zero visibility. As you may imagine, visibility is extremely important for pilots and drivers. Fog in the atmosphere provides the worst conditions for visibility. Look at the following image of the Great Smoky Mountains. The trees in the American Meteorological Society, cited 2020: Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Front.]" class="glossaryLink">front of the image are nearly clear, but with each additional ridge, the mountainside looks whiter and whiter. We assume that each ridge has the same type of foliage as the first. This tells us that objects further away are brighter. ATMO 200 • 459 A photo from the Great Smoky Mountains National Park illustrating that objects far away appear brighter (CC BY 2.0). The reason for the change in brightness is particulate matter in the atmosphere. This can come in the form of aerosols or hydrometeors (cloud droplets, rain drops, snow flakes etc.). In the case of the mountain image above, the Great Smoky Mountains are known for emitting plentiful volatile organic compounds (VOCs) that act as American Meteorological Society, cited 2019: Cloud Condensation Nuclei. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/ wiki/Cloud_condensation_nuclei.]" class="glossaryLink">cloud condensation nuclei (CCN) and produce clouds near ground level (i.e., low hanging fog). Both the aerosols and the hydrometeors reduce visibility. Many believe that a lack visibility is caused by objects blocking your view. However, if that were the case, the background would appear darker. Instead, a lack of visibility is caused by objects 460 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL scattering light towards your eye. With greater distances, your eye has to look through a larger portion of the atmosphere and, therefore, more opportunity for light to scatter towards you. The scattered light is white because American Meteorological Society, cited 2020: Mie Scattering. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Mie_scattering.]" class="glossaryLink">Mie scattering is taking place. Here is another image showing the same scene on a clear and polluted day from the Sequoia and Kings Canyon National Park. ATMO 200 • 461 A clear (top) and polluted (bottom) day at Sequoia & Kings Canyon National Park (Public Domain). This national park often has issues with pollution from the central valley in California. On polluted days, more aerosols and particulate matter are in the atmosphere, so more particles are available to scatter light toward your eye. Scene details are lost and the mountains in the distance can’t be seen at all. The visible range is shorter on the bottom image as compared to the top. 462 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Chapter 22: Questions to Consider 1. An interactive or media element has been excluded from this version of the text. You can view it online here: http://pressbooks-dev.oer.hawaii.edu/ atmo/?p=463 2. An interactive or media element has been excluded from this version of the text. You can view it online here: http://pressbooks-dev.oer.hawaii.edu/ atmo/?p=463 3. Why is it not possible to see a rainbow on the ground at noon? 4. Drag the Sun, Rain Cloud, Rainbow, and Bob to the correct positions in the situation that Bob sees a rainbow when looking East, assuming East is the right side of the picture: An interactive or media element has been excluded from this version of the text. You can view it online here: http://pressbooks-dev.oer.hawaii.edu/ atmo/?p=463 ATMO 200 • 463 5. What causes low visibility? What type of scattering is this an example of? Selected Practice Question Answers: An interactive or media element has been excluded from this version of the text. You can view it online here: http://pressbooks-dev.oer.hawaii.edu/ atmo/?p=463 Glossary Absolute humidity The ratio of the mass of water vapor to the volume of air. Absolutely stable The environmental lapse rate is less than the moist adiabatic lapse rate. Absolutely unstable The environmental lapse rate is greater than the dry adiabatic lapse rate. Accretion In cloud physics, usually the growth of an ice hydrometeor by collision with super-cooled cloud drops that freeze wholly or partially upon contact. American Meteorological Society, cited 2020:Accretion. 465 466 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Glossary of Meteorology. [Available http://glossary.ametsoc.org/wiki/Accretion.] online at Adiabatic processes A process in which a system does not interact with its surroundings by virtue of a temperature difference between them. American Meteorological Society, cited 2019: Adiabatic processes. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Adiabatic_processes.] Advection The process of transport of an atmospheric property solely by the mass motion (velocity field) of the atmosphere; also, the rate of change of the value of the advected property at a given point. American Meteorological Society, cited 2020: Advection. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Advection.] Aggregation The process of clumping together of snow crystals following collision as they fall to form snowflakes. American Meteorological Society, cited 2020: Aggregation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Aggregation.] ATMO 200 • 467 Air mass modification The change of characteristics of an air mass as it moves away from its region of origin. American Meteorological Society, cited 2020: Air Mass Modification. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Airmass_modification.] Air parcel An imaginary volume of air to which may be assigned any or all of the basic dynamic and thermodynamic properties of atmospheric air. American Meteorological Society, cited 2019: Air parcel. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Air_parcel.] Albedo The ratio of reflected flux density to incident flux density, referenced to some surface. American Meteorological Society, cited 2019: Albedo. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Albedo.] Anvil Cloud The anvil-shaped cloud that comprises the upper portion of mature cumulonimbus clouds; the popular name given to a 468 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL cumulonimbus capillatus cloud, particularly if it embodies the supplementary feature incus. American Meteorological Society, cited 2020: Anvil Cloud. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Anvil_cloud.] Atmospheric boundary layer The bottom layer of the troposphere that is in contact with the surface of the earth. American Meteorological Society, cited 2019: Atmospheric boundary layer. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Atmospheric_boundary_layer.] Atmospheric windows A range of wavelengths over which there is relatively little absorption of radiation by atmospheric gases. The major windows are the visible window, from ∼0.3 to ∼0.9 μm; the infrared window, from ∼8 to ∼13 μm; and the microwave window, at wavelengths longer than ∼1 mm. American Meteorological Society, cited 2019: Atmospheric Window. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Atmospheric_window.] Bergeron–Findeisen process A theoretical explanation of the process by which ATMO 200 • 469 precipitation particles may form within a mixed cloud (composed of both ice crystals and liquid water drops). American Meteorological Society, cited 2020: Bergeron–Findeisen process. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Bergeron-findeisen_process.] Blackbody A hypothetical body that cannot be excited to radiate by an external source of electromagnetic radiation of any frequency, direction, or state of polarization except in a negligibly small set of directions around that of the source radiation. American Meteorological Society, cited 2019: Blackbody. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Blackbody.] Centrifugal force The apparent force in a rotating system, deflecting masses radially outward from the axis of rotation, with magnitude per unit mass (ω^2)(R), where ω is the angular speed of rotation and R is the radius of curvature of the path. American Meteorological Society, cited 2020: Centrifugal Force. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Centrifugal_force.] 470 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Clausius-Clapeyron equation The differential equation relating pressure of a substance to temperature in a system in which two phases of the substance are in equilibrium. Climate The slowly varying aspects of atmosphere–hydrosphere–land surface system. the American Meteorological Society, cited 2019: Climate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Climate.] Cloud Condensation Nuclei Hygroscopic aerosol particles that can serve as nuclei of atmospheric cloud droplets, that is, particles on which water condenses (activates) at supersaturations typical of atmospheric cloud formation (fraction of one to a few percent, depending on cloud type). American Meteorological Society, cited 2019: Cloud Condensation Nuclei. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Cloud_condensation_nuclei.] Collision–coalescence process In cloud physics, the process produces precipitation by ATMO 200 • 471 collision and coalescence between liquid particles (cloud droplets, drizzle drops, and raindrops). American Meteorological Society, cited 2020: Collisioncoalescence process. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Collisioncoalescence_process.] Conditionally unstable The environmental lapse rate is between the moist and dry adiabatic lapse rates. Conduction Transport of energy (charge) solely as a consequence of random motions of individual molecules (ions, electrons) not moving together in coherent groups. American Meteorological Society, cited 2019: Conduction. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Conduction.] Contact freezing When many freezing nuclei cause super-cooled liquid droplets. Contour Generally, an outline or configuration of a body or surface. Often, the term is used for one of a set of lines (contour lines) drawn to represent the configuration of a surface. 472 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL American Meteorological Society, cited 2020: Contour. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Contours.] Convection The movement within a fluid due to the tendency of lower density fluid to rise over higher density fluid, which sinks due to the force of gravity resulting in heat transfer within the fluid. Convective Available Potential Energy Also known as CAPE, is the maximum buoyancy of an undiluted air parcel, related to the potential updraft strength of thunderstorms. American Meteorological Society, cited 2019: Convective Available Potential Energy. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Convective_available_potential_energy.] Convective inhibition Also known as CIN, is the energy needed to lift an air parcel upward adiabatically to the lifting condensation level (LCL) and then as a pseudo-adiabatic process from the LCL to its level of free convection (LFC). American Meteorological Society, cited 2019: Convective Inhibition. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Convective_inhibition.] ATMO 200 • 473 Coriolis force An apparent force on moving particles in a non-inertial coordinate system, that is, the Coriolis acceleration as seen in this (relative) system. American Meteorological Society, cited 2020: Coriolis Force. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Coriolis_force.] Cumuliform Like cumulus; generally descriptive of all clouds, the principal characteristic of which is vertical development in the form of rising mounds, domes, or towers. American Meteorological Society, cited 2019: Cumuliform. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Cumuliform.] Cyclogenesis Any development or strengthening of cyclonic circulation in the atmosphere; the opposite of cyclolysis. American Meteorological Society, cited 2020: Cyclogenesis. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Cyclogenesis.] Cyclostrophic wind That horizontal wind velocity for which the centripetal acceleration exactly balances the horizontal pressure force. 474 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL The cyclostrophic wind can be an approximation to the real wind in the atmosphere only near the equator, where the Coriolis acceleration is small; or in cases of very great wind speed and curvature of the path (such as a tornado or hurricane), so that the centripetal acceleration is the dominant one. American Meteorological Society, cited 2020: Cyclostrophic wind. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Cyclostrophic_wind.] Dew point temperature The temperature to which the air must be cooled to reach saturation, without changing the moisture or air pressure. Diabatic process A thermodynamic change of state of a system in which the system exchanges energy with its surroundings by virtue of a temperature difference between them. American Meteorological Society, cited 2019: Diabatic process. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Diabatic_process.] Doldrums A nautical term for the equatorial trough, with special reference to the light and variable nature of the winds. ATMO 200 • 475 American Meteorological Society, cited 2020: Doldrums. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Doldrums.] Downburst An area of strong, often damaging, winds produced by one or more convective downdrafts. Downbursts over horizontal spatial scales ≤ 4 km are referred to as microbursts, whereas larger events with horizontal spatial scales > 4 km are termed macro-bursts. American Meteorological Society, cited 2020: Downburst. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Downburst.] Downdraft Sinking air. Dropsondes When the radiosonde packages are dropped from an aircraft. Dry adiabatic lapse rate A process lapse rate of temperature, the rate of decrease of temperature with height of a parcel of dry air lifted by a reversible adiabatic process through an atmosphere in hydrostatic equilibrium. The adiabatic lapse rate of unsaturated air containing water vapor. 476 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL American Meteorological Society, cited 2019: Dryadiabatic lapse rate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Dryadiabatic_lapse_rate.] Eccentricity The circularity of a planetary orbit. Electromagnetic radiation Energy propagated in the form of an advancing electric and magnetic field disturbance. American Meteorological Society, cited 2019: Electromagnetic radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Electromagnetic_radiation.] Energy A measurable physical quantity, with dimensions of mass times velocity squared, that is conserved for an isolated system. Energy of motion is kinetic energy; energy of position is potential energy. American Meteorological Society, cited 2019: Energy. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Energy.] ATMO 200 • 477 Enhanced-Fujita scale A scale used to classify tornado strength based on the amount of damage that was caused. Equation of State Also known as the ideal gas law or the Charles–Gay–Lussac law. An equation relating temperature, pressure, and volume of a system in thermodynamic equilibrium. American Meteorological Society, cited 2019: Equation of state. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Equation_of_state.] Equilibrium level The level at which an air parcel, rising or descending adiabatically, attains the same density as its environment. American Meteorological Society, cited 2019: Level of neutral buoyancy. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Level_of_neutral_buoyancy.] Eulerian framework A fixed framework, relative to a single point on the Earth’s surface. 478 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Ferrel cell A zonally symmetric circulation that appears to be thermally indirect (when viewed using height or pressure as the vertical coordinate) first proposed by William Ferrel in 1856 as the middle of three meridional cells in each hemisphere. American Meteorological Society, cited 2020: Ferrel cell. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Ferrel_cell.] First law of thermodynamics The total internal energy U of an isolated system is constant. Energy cannot be created or destroyed. American Meteorological Society, cited 2019: First law of thermodynamics. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ First_law_of_thermodynamics.] Flanking line An organized lifting zone of cumulus and towering cumulus clouds, connected to and extending outward from the mature updraft tower of a supercell or strong multicell convective storm. American Meteorological Society, cited 2020: Flanking Line. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Flanking_line.] ATMO 200 • 479 Freezing nuclei Ice nuclei that are effective at causing the freezing of supercooled liquid droplets. Front In meteorology, generally, the interface or transition zone between two air masses of different density. American Meteorological Society, cited 2020: Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Front.] Frontal wave A horizontal wave-like deformation of a front in the lower levels, commonly associated with a maximum of cyclonic circulation in the adjacent flow. American Meteorological Society, cited 2020: Frontal Wave. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Frontal_wave.] Geometric optics The application of ray tracing to explain scattering and refractive effects by particles that are very large compared with the wavelength of the radiation. American Meteorological Society, cited 2020: Geometric Optics. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Geometric_optics.] 480 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Geostrophic adjustment The process by which an unbalanced atmospheric flow field is modified to geostrophic equilibrium, generally by a mutual adjustment of the atmospheric wind and pressure fields depending on the initial horizontal scale of the disturbance. American Meteorological Society, cited 2020: Geostrophic Adjustment. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Geostrophic_adjustment.] Geostrophic balance Describes a balance between Coriolis and horizontal pressure-gradient forces. American Meteorological Society, cited 2020: Geostrophic Balance. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Geostrophic_balance.] Gradient winds Winds flowing along curved isobars. Graupel Heavily rimed snow particles, often called snow pellets; often indistinguishable from very small soft hail except for the size convention that hail must have a diameter greater than 5 mm. American Meteorological Society, cited 2020: Graupel. ATMO 200 • 481 Glossary of Meteorology. [Available http://glossary.ametsoc.org/wiki/Graupel.] online at Greenhouse gases Those gases, such as water vapor, carbon dioxide, ozone, methane, nitrous oxide, and chlorofluorocarbons, that are fairly transparent to the short wavelengths of solar radiation but efficient at absorbing the longer wavelengths of the infrared radiation emitted by the earth and atmosphere. The trapping of heat by these gases controls the earth's surface temperature despite their presence in only trace concentrations in the atmosphere. American Meteorological Society, cited 2019: Greenhouse gases. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Greenhouse_gases.] Gust front The leading edge of a meso-scale pressure dome separating the outflow air in a convective storm from the environmental air. American Meteorological Society, cited 2020: Gust Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Gust_front.] Hadley cell A direct thermally driven and zonally symmetric circulation under the strong influence of the earth's rotation, 482 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL first proposed by George Hadley in 1735 as an explanation for the trade winds. American Meteorological Society, cited 2020: Hadley Cell. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Hadley_cell.] Hailstones A single unit of hail, ranging in size from that of a pea to, on rare occasions, exceeding that of a grapefruit (i.e., from 5 mm to more than 15 cm in diameter). American Meteorological Society, cited 2020: Hailstones. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Hailstones.] Heat The transfer of thermal energy due to the temperature difference between two objects. Heat capacity The ratio of the energy or enthalpy absorbed (or released) by a system to the corresponding temperature rise (or fall). American Meteorological Society, cited 2019: Heat capacity. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Heat_capacity.] ATMO 200 • 483 Hook echo A pendant, curve-shaped region of reflectivity caused when precipitation is drawn into the cyclonic spiral of a mesocyclone. American Meteorological Society, cited 2020: Hook Echo. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Hook_echo.] Hydrostatic balance Describes a balance between vertical pressure gradient and buoyancy forces. American Meteorological Society, cited 2019: Hydrostatic balance. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Hydrostatic_balance.] Hypsometric equation An equation relating the thickness, h, between two isobaric surfaces to the mean virtual temperature of the layer. The hypsometric equation is derived from the hydrostatic equation and the ideal gas law. American Meteorological Society, cited 2019: Hypsometric equation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Hypsometric_equation.] Ice nuclei Any particle that serves as a nucleus leading to the 484 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL formation of ice crystals without regard to the particular physical processes involved in the nucleation. American Meteorological Society, cited 2020: Ice nucleus. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Ice_nucleus.] Instability A property of the steady state of a system such that certain disturbances or perturbations introduced into the steady state will increase in magnitude, the maximum perturbation amplitude always remaining larger than the initial amplitude. American Meteorological Society, cited 2020: Instability. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Instability.] Intertropical Convergence Zone (ITCZ) The axis, or a portion thereof, of the broad trade-wind current of the Tropics. This axis is the dividing line between the southeast trades and the northeast trades (of the Southern and Northern Hemispheres, respectively). American Meteorological Society, cited 2020: Intertropical Convergence Zone. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Intertropical_convergence_zone.] ATMO 200 • 485 Isobars A line of equal or constant pressure; an isopleth of pressure. American Meteorological Society, cited 2020: Isobars. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Isobars.] Isopleths In common meteorological usage, a line of equal or constant value of a given quantity, with respect to either space or time. American Meteorological Society, cited 2020: Isopleths. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Isopleths.] Isotherms A line of equal or constant temperature. American Meteorological Society, cited 2020: Isotherms. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Isotherms.] Jet stream Relatively strong winds concentrated within a narrow stream in the atmosphere. American Meteorological Society, cited 2020: Jet Steam. 486 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Glossary of Meteorology. [Available http://glossary.ametsoc.org/wiki/Jet_stream.] online at Kinetic energy The energy that a body possesses as a consequence of its motion, defined as one- half the product of its mass and the square of its speed. American Meteorological Society, cited 2019: Kinetic energy. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Kinetic_energy.] Lagrangian framework A framework that is constantly moving and travels with the air. Lapse rate The decrease of an atmospheric variable with height, the variable being temperature, unless otherwise specified. American Meteorological Society, cited 2019: Lapse rate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Lapse_rate.] Latent heat The specific enthalpy difference between two phases of a substance at the same temperature. American Meteorological Society, cited 2019: Latent heat. ATMO 200 • 487 Glossary of Meteorology. [Available online http://glossary.ametsoc.org/wiki/Latent_heat.] at Lee Cyclogenesis The synoptic-scale development of an atmospheric cyclonic circulation on the downwind side of a mountain range. American Meteorological Society, cited 2020: Lee Cyclogenesis. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Lee_cyclogenesis.] Level of free convection The level at which a parcel of air lifted dry-adiabatically until saturated and saturation-adiabatically thereafter would first become warmer than its surroundings in a conditionally unstable atmosphere. American Meteorological Society, cited 2019: Level of Free Convection. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Level_of_free_convection.] Lifting Condensation Level The level at which a parcel of moist air lifted dryadiabatically would become saturated. This is where clouds form. American Meteorological Society, cited 2019: Lifting 488 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Condensation Level. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Lifting_condensation_level.] Lightning Lightning is a transient, high-current electric discharge with path lengths measured in kilometers. American Meteorological Society, cited 2020: Lightning. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Lightning.] Mesoscale convective complex A subset of mesoscale convective systems (MCS) that exhibit a large, circular (as observed by satellite), longlived, cold cloud shield. American Meteorological Society, cited 2020: Mesoscale Convective Complex. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Mesoscale_convective_complex.] Microburst A convective downdraft (downburst) that covers an area less than 4 km along a side with peak winds that last 2–5 minutes. American Meteorological Society, cited 2020: Microburst. ATMO 200 • 489 Glossary of Meteorology. [Available http://glossary.ametsoc.org/wiki/Microburst.] online at Mie scattering Scattering of electromagnetic waves by homogeneous spheres of arbitrary size, named after Gustav Mie (1868–1957), whose theory of 1908 explains the process. American Meteorological Society, cited 2020: Mie Scattering. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Mie_scattering.] Mixing ratio The ratio of the mass of water vapor to the mass of dry air. Moist adiabatic lapse rate The rate of decrease of temperature with height along a moist adiabat. American Meteorological Society, cited 2019: Moist adiabatic lapse rate. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Moistadiabatic_lapse_rate.] Neutral stability A condition of a system for which a small perturbation of a parcel of the system causes it to neither depart from its new position nor return to its previous one. 490 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL American Meteorological Society, cited 2019: Neutral stability. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Neutral_stability.] Obliquity The degree of tilt in the axis of rotation. Occluded front A front that forms as a cyclone moves deeper into colder air. American Meteorological Society, cited 2020: Occluded Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Occluded_fronts.] Outflow boundary A surface boundary formed by the horizontal spreading of thunderstorm-cooled air. American Meteorological Society, cited 2020: Outflow Boundary. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Outflow_boundary.] Overshooting top A domelike protrusion above a cumulonimbus anvil, representing the intrusion of an updraft through its equilibrium level (level of neutral buoyancy). American Meteorological Society, cited 2020: ATMO 200 • 491 Overshooting Top. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Overshooting_top.] Planck's radiation law The distribution law of photon energies for radiation in equilibrium with matter at absolute temperature T. American Meteorological Society, cited 2019: Planck’s radiation law. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Planck%27s_radiation_law.] Polar cell A weak meridional circulation in the high-latitude troposphere characterized by ascending motion in the subpolar latitudes (50°–70°), descending motion over the pole, poleward motion aloft, and equatorward motion near the surface. American Meteorological Society, cited 2020: Polar Cell. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Polar_cell.] Polar Easterlies Air typically flowing from the northeast while in the Antarctic, air flowing from the southeast. 492 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Polar front According to the polar-front theory, the semi-permanent, semi-continuous front separating air masses of tropical and polar origin. American Meteorological Society, cited 2020: Polar Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Polar_front.] Polar Front theory A theory originated by the Scandinavian school of meteorologists whereby a polar front, separating air masses of polar and tropical origin, gives rise to cyclonic disturbances that intensify and travel along the front, passing through various phases of a characteristic life history. American Meteorological Society, cited 2020: Polar Front Theory. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Polar-front_theory.] Polar jet stream Relatively strong winds concentrated within a narrow stream in the atmosphere. The polar-front jet stream is associated with the polar front of middle and upper-middle latitudes. American Meteorological Society, cited 2020: Polar Jet ATMO 200 • 493 Stream. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Polar-front_jet_stream.] Potential energy The energy a system has by virtue of its position; the negative of the work done in taking a system from a reference configuration, where the potential energy is assigned the value zero, to a given configuration, with no change in kinetic energy of the system. American Meteorological Society, cited 2019: Potential energy. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Potential_energy.] Potential temperature The temperature that an unsaturated parcel of dry air would have if brought adiabatically and reversibly from its initial state to a standard pressure, p₀, typically 100 kPa. American Meteorological Society, cited 2019: Potential temperature. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Potential_temperature.] Precession The wobble in the rotational axis of a planet that slowly traces out a cone. 494 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL Precipitation All liquid or solid phase aqueous particles that originate in the atmosphere and fall to the earth's surface. American Meteorological Society, cited 2020: Precipitation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Precipitation.] Pressure Gradient force The force due to differences of pressure within a fluid mass. American Meteorological Society, cited 2020: Pressure Gradient Force. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Pressuregradient_force.] Radiation The process by which electromagnetic radiation is propagated through free space. American Meteorological Society, cited 2019: Radiation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Radiation.] Radiosonde An expendable meteorological instrument package, often borne aloft by a free-flight balloon, that measures, from the surface to the stratosphere, the vertical profiles of atmospheric variables and transmits the data via radio to ATMO 200 • 495 a ground receiving system. Radiosondes typically measure temperature, humidity, and, in many cases, pressure. American Meteorological Society, cited 2020: Radiosonde. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Radiosonde.] Rawinsondes Radiosondes that also infer wind data at different heights. Rayleigh scattering Approximate theory for electromagnetic scattering by small particles named for Lord Rayleigh (John William Strutt, 1842–1919), who in 1871 showed that the blue color of the clear sky is explained by the scattering of light by molecules in the atmosphere. American Meteorological Society, cited 2020: Rayleigh Scattering. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Rayleigh_scattering] Relative humidity The ratio of the amount of water vapor present in the air to the maximum amount of water vapor needed for saturation at a certain pressure and temperature. Saturation The condition in which vapor pressure is equal to the 496 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL equilibrium vapor pressure over a plane surface of pure liquid water, or sometimes ice. American Meteorological Society, cited 2019: Saturation. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Saturation.] Shelf cloud A low-level, horizontal, wedge-shaped arcus cloud associated with a convective storm's gust front (or occasionally a cold front). American Meteorological Society, cited 2020: Shelf Cloud. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Shelf_cloud.] Snowflake Colloquially an ice crystal, or more commonly an aggregation of many crystals that falls from a cloud. American Meteorological Society, cited 2020: Snowflake. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Snowflakes.] Sounding A vertical profile of the environmental lapse rate by releasing a radiosonde attached to a weather balloon. ATMO 200 • 497 Specific heat The heat capacity of a system divided by its mass. American Meteorological Society, cited 2019: Specific heat. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Specific_heat.] Specific humidity The ratio of the mass of water vapor to the total mass of air (dry air and water vapor combined). Spontaneous freezing When liquid water droplets freeze without any sort of nucleus. Squall line A line of active deep moist convection frequently associated with thunder, either continuous or with breaks, including contiguous precipitation areas. American Meteorological Society, cited 2020: Squall Line. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Squall_line.] Stability The characteristic of a system if sufficiently small disturbances have only small effects, either decreasing in amplitude or oscillating periodically; it is asymptotically 498 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL stable if the effect of small disturbances vanishes for long time periods. American Meteorological Society, cited 2019: Stability. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Stability.] Stationary front A type of frontal system that are almost stationary with the winds flowing nearly parallel and from the opposite paths in each side separated by the front. Steady-state A fluid motion in which the velocities at every point of the field are independent of time; streamlines and trajectories are identical. American Meteorological Society, cited 2019: Steady state. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Steady_state.] Stefan-Boltzmann Law One of the radiation laws, which states that the amount of energy radiated per unit time from a unit surface area of an ideal blackbody is proportional to the fourth power of the absolute temperature of the blackbody. American Meteorological Society, cited 2019: StefanBoltzmann Law. Glossary of Meteorology. [Available ATMO 200 • 499 online at http://glossary.ametsoc.org/wiki/Stefanboltzmann_law.] Stoke’s Drag Law Equation to find the terminal velocity of a falling cloud droplet. Stratiform Descriptive of clouds of extensive horizontal development, as contrasted to the vertically developed cumuliform types. American Meteorological Society, cited 2019: Stratiform. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Stratiform.] Subpolar Low A band of low pressure located, in the mean, between 50° and 70° latitude. American Meteorological Society, cited 2020: Subpolar Low. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/ Subpolar_low_pressure_belt] Subtropical Highs These highs appear as centers of action on mean charts of sea level pressure, generally between 20° and 40° latitude. They lie over the oceans and are best developed in the summer season. 500 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL American Meteorological Society, cited 2020: Subtropical Highs. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Subtropical_high.] Super-cooled water Liquid water that exists below the freezing point of water (below 0°C). Supercell An often dangerous convective storm that consists primarily of a single, quasi-steady rotating updraft, which persists for a period of time much longer than it takes an air parcel to rise from the base of the updraft to its summit (often much longer than 10–20 min). American Meteorological Society, cited 2020: Supercell. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Supercell.] Synoptic In meteorology, this term has become somewhat specialized in referring to the use of meteorological data obtained simultaneously over a wide area for the purpose of presenting a comprehensive and nearly instantaneous picture of the state of the atmosphere. American Meteorological Society, cited 2020: Synoptic. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Synoptic.] ATMO 200 • 501 Terminal velocity The particular falling speed, for any given object moving through a fluid medium of specified physical properties, at which the drag forces and buoyant forces exerted by the fluid on the object just equal the gravitational force acting on the object. American Meteorological Society, cited 2020: Terminal Fall Velocity. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Terminal_fall_velocity.] Thermal energy A form of energy transferred between systems, existing only in the process of transfer. Also the same as enthalpy. American Meteorological Society, cited 2019: Heat. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Heat.] Thunder The sound emitted by rapidly expanding gases along the channel of a lightning discharge. American Meteorological Society, cited 2020: Thunder. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Thunder.] Thunderstorm In general, a local storm, invariably produced by a 502 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL cumulonimbus cloud and always accompanied by lightning and thunder, usually with strong gusts of wind, heavy rain, and sometimes with hail. American Meteorological Society, cited 2020: Thunderstorm. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Thunderstorm.] Trade winds The wind system, occupying most of the Tropics, that blows from the subtropical highs toward the equatorial trough; a major component of the general circulation of the atmosphere. American Meteorological Society, cited 2020: Trade Winds. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Trade_winds.] Turbulent drag The relationship between wind speed and force caused by the wind against objects or along surfaces. American Meteorological Society, cited 2020: Turbulent Drag. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Drag_law.] Updraft Rising air. ATMO 200 • 503 Vapor pressure The pressure exerted by the molecules of a given vapor. American Meteorological Society, cited 2019: Vapor pressure. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Vapor_pressure.] Virtual temperature Also called Density temperature. The temperature that dry dry air would have if its pressure and density were equal to those of a given sample of moist air. American Meteorological Society, cited 2019: Virtual temperature. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Virtual_temperature.] Wall cloud A local, often abrupt lowering from a cumulonimbus cloud base into a low-hanging accessory cloud, normally a kilometer or more in diameter. American Meteorological Society, cited 2020: Wall Cloud. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Wall_cloud.] Warm front Any non-occluded front, or portion thereof, that moves in such a way that warmer air replaces cold air. 504 • ALISON NUGENT, DAVID DECOU, AND SHINTARO RUSSELL American Meteorological Society, cited 2020: Warm Front. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Warm_front.] Warm sector The region of warmer air between the cold and warm fronts. Weather The state of the atmosphere, mainly with respect to its effects upon life and human activities. As distinguished from climate, weather consists of the short-term (minutes to days) variations in the atmosphere. Popularly, weather is thought of in terms of temperature, humidity, precipitation, cloudiness, visibility, and wind. American Meteorological Society, cited 2019: Weather. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Weather.] Westerlies Specifically, the dominant west-to-east motion of the atmosphere, centered over the middle latitudes of both hemispheres. American Meteorological Society, cited 2020: Westerlies. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Westerlies.] ATMO 200 • 505 Wet-Bulb temperature The lowest temperature that can be achieved if water evaporates within the air. Wien’s Law A radiation law that is used to relate the wavelength of maximum emission from a blackbody inversely to its absolute temperature. American Meteorological Society, cited 2019: Wien’s law. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Wien%27s_law.] Wind shear The local variation of the wind vector or any of its components in a given direction. American Meteorological Society, cited 2020: Wind Shear. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Wind_shear.] Work A form of energy arising from the motion of a system against a force, existing only in the process of energy conversion. American Meteorological Society, cited 2019: Work. Glossary of Meteorology. [Available online at http://glossary.ametsoc.org/wiki/Work.]